representation_theory.fdRep | Mathlib porting status

Changes since the initial port

The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.

Changes in mathlib3

19a70dce

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

728ef9db

bump to nightly-2024-04-06-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

e34029c9

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
 import RepresentationTheory.Rep
-import Algebra.Category.FgModule.Limits
+import Algebra.Category.FGModuleCat.Limits
 import CategoryTheory.Preadditive.Schur
 import RepresentationTheory.Basic

728ef9db

bump to nightly-2024-02-05-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

516c6ec2

Diff

@@ -44,7 +44,7 @@ open CategoryTheory
 
 open CategoryTheory.Limits
 
-/- ./././Mathport/Syntax/Translate/Command.lean:339:31: unsupported: @[derive] abbrev -/
+/- ./././Mathport/Syntax/Translate/Command.lean:342:31: unsupported: @[derive] abbrev -/
 #print FdRep /-
 /-- The category of finite dimensional `k`-linear representations of a monoid `G`. -/
 abbrev FdRep (k G : Type u) [Field k] [Monoid G] :=

728ef9db

bump to nightly-2023-12-23-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

b8c74971

Diff

@@ -44,7 +44,7 @@ open CategoryTheory
 
 open CategoryTheory.Limits
 
-/- ./././Mathport/Syntax/Translate/Command.lean:329:31: unsupported: @[derive] abbrev -/
+/- ./././Mathport/Syntax/Translate/Command.lean:339:31: unsupported: @[derive] abbrev -/
 #print FdRep /-
 /-- The category of finite dimensional `k`-linear representations of a monoid `G`. -/
 abbrev FdRep (k G : Type u) [Field k] [Monoid G] :=

728ef9db

bump to nightly-2023-09-24-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451

5655435f

Diff

@@ -3,10 +3,10 @@ Copyright (c) 2022 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
-import Mathbin.RepresentationTheory.Rep
-import Mathbin.Algebra.Category.FgModule.Limits
-import Mathbin.CategoryTheory.Preadditive.Schur
-import Mathbin.RepresentationTheory.Basic
+import RepresentationTheory.Rep
+import Algebra.Category.FgModule.Limits
+import CategoryTheory.Preadditive.Schur
+import RepresentationTheory.Basic
 
 #align_import representation_theory.fdRep from "leanprover-community/mathlib"@"728ef9dbb281241906f25cbeb30f90d83e0bb451"
 
@@ -44,7 +44,7 @@ open CategoryTheory
 
 open CategoryTheory.Limits
 
-/- ./././Mathport/Syntax/Translate/Command.lean:328:31: unsupported: @[derive] abbrev -/
+/- ./././Mathport/Syntax/Translate/Command.lean:329:31: unsupported: @[derive] abbrev -/
 #print FdRep /-
 /-- The category of finite dimensional `k`-linear representations of a monoid `G`. -/
 abbrev FdRep (k G : Type u) [Field k] [Monoid G] :=

728ef9db

bump to nightly-2023-07-20-09

mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345

9c56d0dd

Diff

@@ -2,17 +2,14 @@
 Copyright (c) 2022 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module representation_theory.fdRep
-! leanprover-community/mathlib commit 728ef9dbb281241906f25cbeb30f90d83e0bb451
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.RepresentationTheory.Rep
 import Mathbin.Algebra.Category.FgModule.Limits
 import Mathbin.CategoryTheory.Preadditive.Schur
 import Mathbin.RepresentationTheory.Basic
 
+#align_import representation_theory.fdRep from "leanprover-community/mathlib"@"728ef9dbb281241906f25cbeb30f90d83e0bb451"
+
 /-!
 # `fdRep k G` is the category of finite dimensional `k`-linear representations of `G`.

728ef9db

bump to nightly-2023-07-04-01

mathlib commit https://github.com/leanprover-community/mathlib/commit/728ef9dbb281241906f25cbeb30f90d83e0bb451

05318d71

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 
 ! This file was ported from Lean 3 source module representation_theory.fdRep
-! leanprover-community/mathlib commit 19a70dceb9dff0994b92d2dd049de7d84d28112b
+! leanprover-community/mathlib commit 728ef9dbb281241906f25cbeb30f90d83e0bb451
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -16,6 +16,9 @@ import Mathbin.RepresentationTheory.Basic
 /-!
 # `fdRep k G` is the category of finite dimensional `k`-linear representations of `G`.
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 If `V : fdRep k G`, there is a coercion that allows you to treat `V` as a type,
 and this type comes equipped with `module k V` and `finite_dimensional k V` instances.
 Also `V.ρ` gives the homomorphism `G →* (V →ₗ[k] V)`.

19a70dce

bump to nightly-2023-07-01-23

mathlib commit https://github.com/leanprover-community/mathlib/commit/9240e8be927a0955b9a82c6c85ef499ee3a626b8

ff884a64

Diff

@@ -45,10 +45,12 @@ open CategoryTheory
 open CategoryTheory.Limits
 
 /- ./././Mathport/Syntax/Translate/Command.lean:328:31: unsupported: @[derive] abbrev -/
+#print FdRep /-
 /-- The category of finite dimensional `k`-linear representations of a monoid `G`. -/
 abbrev FdRep (k G : Type u) [Field k] [Monoid G] :=
   Action (FGModuleCat.{u} k) (MonCat.of G)
 #align fdRep FdRep
+-/
 
 namespace FdRep
 
@@ -73,16 +75,21 @@ instance (V W : FdRep k G) : FiniteDimensional k (V ⟶ W) :=
   FiniteDimensional.of_injective ((forget₂ (FdRep k G) (FGModuleCat k)).mapLinearMap k)
     (Functor.map_injective _)
 
+#print FdRep.ρ /-
 /-- The monoid homomorphism corresponding to the action of `G` onto `V : fdRep k G`. -/
 def ρ (V : FdRep k G) : G →* V →ₗ[k] V :=
   V.ρ
 #align fdRep.ρ FdRep.ρ
+-/
 
+#print FdRep.isoToLinearEquiv /-
 /-- The underlying `linear_equiv` of an isomorphism of representations. -/
 def isoToLinearEquiv {V W : FdRep k G} (i : V ≅ W) : V ≃ₗ[k] W :=
   FGModuleCat.isoToLinearEquiv ((Action.forget (FGModuleCat k) (MonCat.of G)).mapIso i)
 #align fdRep.iso_to_linear_equiv FdRep.isoToLinearEquiv
+-/
 
+#print FdRep.Iso.conj_ρ /-
 theorem Iso.conj_ρ {V W : FdRep k G} (i : V ≅ W) (g : G) :
     W.ρ g = (FdRep.isoToLinearEquiv i).conj (V.ρ g) :=
   by
@@ -90,20 +97,25 @@ theorem Iso.conj_ρ {V W : FdRep k G} (i : V ≅ W) (g : G) :
   rw [iso.eq_inv_comp ((Action.forget (FGModuleCat k) (MonCat.of G)).mapIso i)]
   exact (i.hom.comm g).symm
 #align fdRep.iso.conj_ρ FdRep.Iso.conj_ρ
+-/
 
+#print FdRep.of /-
 /-- Lift an unbundled representation to `fdRep`. -/
 @[simps ρ]
 def of {V : Type u} [AddCommGroup V] [Module k V] [FiniteDimensional k V]
     (ρ : Representation k G V) : FdRep k G :=
   ⟨FGModuleCat.of k V, ρ⟩
 #align fdRep.of FdRep.of
+-/
 
 instance : HasForget₂ (FdRep k G) (Rep k G)
     where forget₂ := (forget₂ (FGModuleCat k) (ModuleCat k)).mapAction (MonCat.of G)
 
+#print FdRep.forget₂_ρ /-
 theorem forget₂_ρ (V : FdRep k G) : ((forget₂ (FdRep k G) (Rep k G)).obj V).ρ = V.ρ := by ext g v;
   rfl
 #align fdRep.forget₂_ρ FdRep.forget₂_ρ
+-/
 
 -- Verify that the monoidal structure is available.
 example : MonoidalCategory (FdRep k G) := by infer_instance
@@ -120,12 +132,15 @@ open scoped Classical
 -- deterministic timeout.
 instance : HasKernels (FdRep k G) := by infer_instance
 
+#print FdRep.finrank_hom_simple_simple /-
 -- Verify that Schur's lemma applies out of the box.
 theorem finrank_hom_simple_simple [IsAlgClosed k] (V W : FdRep k G) [Simple V] [Simple W] :
     finrank k (V ⟶ W) = if Nonempty (V ≅ W) then 1 else 0 :=
   CategoryTheory.finrank_hom_simple_simple k V W
 #align fdRep.finrank_hom_simple_simple FdRep.finrank_hom_simple_simple
+-/
 
+#print FdRep.forget₂HomLinearEquiv /-
 /-- The forgetful functor to `Rep k G` preserves hom-sets and their vector space structure -/
 def forget₂HomLinearEquiv (X Y : FdRep k G) :
     ((forget₂ (FdRep k G) (Rep k G)).obj X ⟶ (forget₂ (FdRep k G) (Rep k G)).obj Y) ≃ₗ[k] X ⟶ Y
@@ -137,6 +152,7 @@ def forget₂HomLinearEquiv (X Y : FdRep k G) :
   left_inv _ := by ext; rfl
   right_inv _ := by ext; rfl
 #align fdRep.forget₂_hom_linear_equiv FdRep.forget₂HomLinearEquiv
+-/
 
 end FdRep
 
@@ -168,13 +184,16 @@ variable [FiniteDimensional k V]
 variable (ρV : Representation k G V) (W : FdRep k G)
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print FdRep.dualTensorIsoLinHomAux /-
 /-- Auxiliary definition for `fdRep.dual_tensor_iso_lin_hom`. -/
 noncomputable def dualTensorIsoLinHomAux :
     (FdRep.of ρV.dual ⊗ W).V ≅ (FdRep.of (linHom ρV W.ρ)).V :=
   (dualTensorHomEquiv k V W).toFGModuleCatIso
 #align fdRep.dual_tensor_iso_lin_hom_aux FdRep.dualTensorIsoLinHomAux
+-/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print FdRep.dualTensorIsoLinHom /-
 /-- When `V` and `W` are finite dimensional representations of a group `G`, the isomorphism
 `dual_tensor_hom_equiv k V W` of vector spaces induces an isomorphism of representations. -/
 noncomputable def dualTensorIsoLinHom : FdRep.of ρV.dual ⊗ W ≅ FdRep.of (linHom ρV W.ρ) :=
@@ -182,11 +201,14 @@ noncomputable def dualTensorIsoLinHom : FdRep.of ρV.dual ⊗ W ≅ FdRep.of (li
   apply Action.mkIso (dual_tensor_iso_lin_hom_aux ρV W)
   convert dual_tensor_hom_comm ρV W.ρ
 #align fdRep.dual_tensor_iso_lin_hom FdRep.dualTensorIsoLinHom
+-/
 
+#print FdRep.dualTensorIsoLinHom_hom_hom /-
 @[simp]
 theorem dualTensorIsoLinHom_hom_hom : (dualTensorIsoLinHom ρV W).hom.hom = dualTensorHom k V W :=
   rfl
 #align fdRep.dual_tensor_iso_lin_hom_hom_hom FdRep.dualTensorIsoLinHom_hom_hom
+-/
 
 end FdRep

19a70dce

bump to nightly-2023-06-26-07

mathlib commit https://github.com/leanprover-community/mathlib/commit/fdc286cc6967a012f41b87f76dcd2797b53152af

efc283d6

Diff

@@ -47,7 +47,7 @@ open CategoryTheory.Limits
 /- ./././Mathport/Syntax/Translate/Command.lean:328:31: unsupported: @[derive] abbrev -/
 /-- The category of finite dimensional `k`-linear representations of a monoid `G`. -/
 abbrev FdRep (k G : Type u) [Field k] [Monoid G] :=
-  Action (FgModule.{u} k) (MonCat.of G)
+  Action (FGModuleCat.{u} k) (MonCat.of G)
 #align fdRep FdRep
 
 namespace FdRep
@@ -60,17 +60,17 @@ instance : CoeSort (FdRep k G) (Type u) :=
   ConcreteCategory.hasCoeToSort _
 
 instance (V : FdRep k G) : AddCommGroup V := by
-  change AddCommGroup ((forget₂ (FdRep k G) (FgModule k)).obj V).obj; infer_instance
+  change AddCommGroup ((forget₂ (FdRep k G) (FGModuleCat k)).obj V).obj; infer_instance
 
 instance (V : FdRep k G) : Module k V := by
-  change Module k ((forget₂ (FdRep k G) (FgModule k)).obj V).obj; infer_instance
+  change Module k ((forget₂ (FdRep k G) (FGModuleCat k)).obj V).obj; infer_instance
 
 instance (V : FdRep k G) : FiniteDimensional k V := by
-  change FiniteDimensional k ((forget₂ (FdRep k G) (FgModule k)).obj V).obj; infer_instance
+  change FiniteDimensional k ((forget₂ (FdRep k G) (FGModuleCat k)).obj V).obj; infer_instance
 
 /-- All hom spaces are finite dimensional. -/
 instance (V W : FdRep k G) : FiniteDimensional k (V ⟶ W) :=
-  FiniteDimensional.of_injective ((forget₂ (FdRep k G) (FgModule k)).mapLinearMap k)
+  FiniteDimensional.of_injective ((forget₂ (FdRep k G) (FGModuleCat k)).mapLinearMap k)
     (Functor.map_injective _)
 
 /-- The monoid homomorphism corresponding to the action of `G` onto `V : fdRep k G`. -/
@@ -80,14 +80,14 @@ def ρ (V : FdRep k G) : G →* V →ₗ[k] V :=
 
 /-- The underlying `linear_equiv` of an isomorphism of representations. -/
 def isoToLinearEquiv {V W : FdRep k G} (i : V ≅ W) : V ≃ₗ[k] W :=
-  FgModule.isoToLinearEquiv ((Action.forget (FgModule k) (MonCat.of G)).mapIso i)
+  FGModuleCat.isoToLinearEquiv ((Action.forget (FGModuleCat k) (MonCat.of G)).mapIso i)
 #align fdRep.iso_to_linear_equiv FdRep.isoToLinearEquiv
 
 theorem Iso.conj_ρ {V W : FdRep k G} (i : V ≅ W) (g : G) :
     W.ρ g = (FdRep.isoToLinearEquiv i).conj (V.ρ g) :=
   by
-  rw [FdRep.isoToLinearEquiv, ← FgModule.Iso.conj_eq_conj, iso.conj_apply]
-  rw [iso.eq_inv_comp ((Action.forget (FgModule k) (MonCat.of G)).mapIso i)]
+  rw [FdRep.isoToLinearEquiv, ← FGModuleCat.Iso.conj_eq_conj, iso.conj_apply]
+  rw [iso.eq_inv_comp ((Action.forget (FGModuleCat k) (MonCat.of G)).mapIso i)]
   exact (i.hom.comm g).symm
 #align fdRep.iso.conj_ρ FdRep.Iso.conj_ρ
 
@@ -95,11 +95,11 @@ theorem Iso.conj_ρ {V W : FdRep k G} (i : V ≅ W) (g : G) :
 @[simps ρ]
 def of {V : Type u} [AddCommGroup V] [Module k V] [FiniteDimensional k V]
     (ρ : Representation k G V) : FdRep k G :=
-  ⟨FgModule.of k V, ρ⟩
+  ⟨FGModuleCat.of k V, ρ⟩
 #align fdRep.of FdRep.of
 
 instance : HasForget₂ (FdRep k G) (Rep k G)
-    where forget₂ := (forget₂ (FgModule k) (ModuleCat k)).mapAction (MonCat.of G)
+    where forget₂ := (forget₂ (FGModuleCat k) (ModuleCat k)).mapAction (MonCat.of G)
 
 theorem forget₂_ρ (V : FdRep k G) : ((forget₂ (FdRep k G) (Rep k G)).obj V).ρ = V.ρ := by ext g v;
   rfl
@@ -133,7 +133,7 @@ def forget₂HomLinearEquiv (X Y : FdRep k G) :
   toFun f := ⟨f.hom, f.comm⟩
   map_add' _ _ := rfl
   map_smul' _ _ := rfl
-  invFun f := ⟨(forget₂ (FgModule k) (ModuleCat k)).map f.hom, f.comm⟩
+  invFun f := ⟨(forget₂ (FGModuleCat k) (ModuleCat k)).map f.hom, f.comm⟩
   left_inv _ := by ext; rfl
   right_inv _ := by ext; rfl
 #align fdRep.forget₂_hom_linear_equiv FdRep.forget₂HomLinearEquiv
@@ -146,7 +146,7 @@ variable {k G : Type u} [Field k] [Group G]
 
 -- Verify that the right rigid structure is available when the monoid is a group.
 noncomputable instance : RightRigidCategory (FdRep k G) := by
-  change right_rigid_category (Action (FgModule k) (GroupCat.of G)); infer_instance
+  change right_rigid_category (Action (FGModuleCat k) (GroupCat.of G)); infer_instance
 
 end FdRep
 
@@ -171,7 +171,7 @@ variable (ρV : Representation k G V) (W : FdRep k G)
 /-- Auxiliary definition for `fdRep.dual_tensor_iso_lin_hom`. -/
 noncomputable def dualTensorIsoLinHomAux :
     (FdRep.of ρV.dual ⊗ W).V ≅ (FdRep.of (linHom ρV W.ρ)).V :=
-  (dualTensorHomEquiv k V W).toFgModuleIso
+  (dualTensorHomEquiv k V W).toFGModuleCatIso
 #align fdRep.dual_tensor_iso_lin_hom_aux FdRep.dualTensorIsoLinHomAux
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/

19a70dce

bump to nightly-2023-06-20-01

mathlib commit https://github.com/leanprover-community/mathlib/commit/2a0ce625dbb0ffbc7d1316597de0b25c1ec75303

9b351f8c

Diff

@@ -101,7 +101,7 @@ def of {V : Type u} [AddCommGroup V] [Module k V] [FiniteDimensional k V]
 instance : HasForget₂ (FdRep k G) (Rep k G)
     where forget₂ := (forget₂ (FgModule k) (ModuleCat k)).mapAction (MonCat.of G)
 
-theorem forget₂_ρ (V : FdRep k G) : ((forget₂ (FdRep k G) (Rep k G)).obj V).ρ = V.ρ := by ext (g v);
+theorem forget₂_ρ (V : FdRep k G) : ((forget₂ (FdRep k G) (Rep k G)).obj V).ρ = V.ρ := by ext g v;
   rfl
 #align fdRep.forget₂_ρ FdRep.forget₂_ρ

19a70dce

bump to nightly-2023-06-13-21

mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423

829520ac

Diff

@@ -44,7 +44,7 @@ open CategoryTheory
 
 open CategoryTheory.Limits
 
-/- ./././Mathport/Syntax/Translate/Command.lean:329:31: unsupported: @[derive] abbrev -/
+/- ./././Mathport/Syntax/Translate/Command.lean:328:31: unsupported: @[derive] abbrev -/
 /-- The category of finite dimensional `k`-linear representations of a monoid `G`. -/
 abbrev FdRep (k G : Type u) [Field k] [Monoid G] :=
   Action (FgModule.{u} k) (MonCat.of G)

19a70dce

bump to nightly-2023-06-04-18

mathlib commit https://github.com/leanprover-community/mathlib/commit/5f25c089cb34db4db112556f23c50d12da81b297

3fb4268b

Diff

@@ -44,7 +44,7 @@ open CategoryTheory
 
 open CategoryTheory.Limits
 
-/- ./././Mathport/Syntax/Translate/Command.lean:328:31: unsupported: @[derive] abbrev -/
+/- ./././Mathport/Syntax/Translate/Command.lean:329:31: unsupported: @[derive] abbrev -/
 /-- The category of finite dimensional `k`-linear representations of a monoid `G`. -/
 abbrev FdRep (k G : Type u) [Field k] [Monoid G] :=
   Action (FgModule.{u} k) (MonCat.of G)

19a70dce

bump to nightly-2023-05-28-18

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

8d353152

Diff

@@ -114,7 +114,7 @@ example : MonoidalLinear k (FdRep k G) := by infer_instance
 
 open FiniteDimensional
 
-open Classical
+open scoped Classical
 
 -- We need to provide this instance explicitely as otherwise `finrank_hom_simple_simple` gives a
 -- deterministic timeout.

19a70dce

bump to nightly-2023-05-28-04

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

6797a637

Diff

@@ -59,20 +59,14 @@ instance : Linear k (FdRep k G) := by infer_instance
 instance : CoeSort (FdRep k G) (Type u) :=
   ConcreteCategory.hasCoeToSort _
 
-instance (V : FdRep k G) : AddCommGroup V :=
-  by
-  change AddCommGroup ((forget₂ (FdRep k G) (FgModule k)).obj V).obj
-  infer_instance
+instance (V : FdRep k G) : AddCommGroup V := by
+  change AddCommGroup ((forget₂ (FdRep k G) (FgModule k)).obj V).obj; infer_instance
 
-instance (V : FdRep k G) : Module k V :=
-  by
-  change Module k ((forget₂ (FdRep k G) (FgModule k)).obj V).obj
-  infer_instance
+instance (V : FdRep k G) : Module k V := by
+  change Module k ((forget₂ (FdRep k G) (FgModule k)).obj V).obj; infer_instance
 
-instance (V : FdRep k G) : FiniteDimensional k V :=
-  by
-  change FiniteDimensional k ((forget₂ (FdRep k G) (FgModule k)).obj V).obj
-  infer_instance
+instance (V : FdRep k G) : FiniteDimensional k V := by
+  change FiniteDimensional k ((forget₂ (FdRep k G) (FgModule k)).obj V).obj; infer_instance
 
 /-- All hom spaces are finite dimensional. -/
 instance (V W : FdRep k G) : FiniteDimensional k (V ⟶ W) :=
@@ -107,9 +101,7 @@ def of {V : Type u} [AddCommGroup V] [Module k V] [FiniteDimensional k V]
 instance : HasForget₂ (FdRep k G) (Rep k G)
     where forget₂ := (forget₂ (FgModule k) (ModuleCat k)).mapAction (MonCat.of G)
 
-theorem forget₂_ρ (V : FdRep k G) : ((forget₂ (FdRep k G) (Rep k G)).obj V).ρ = V.ρ :=
-  by
-  ext (g v)
+theorem forget₂_ρ (V : FdRep k G) : ((forget₂ (FdRep k G) (Rep k G)).obj V).ρ = V.ρ := by ext (g v);
   rfl
 #align fdRep.forget₂_ρ FdRep.forget₂_ρ
 
@@ -142,12 +134,8 @@ def forget₂HomLinearEquiv (X Y : FdRep k G) :
   map_add' _ _ := rfl
   map_smul' _ _ := rfl
   invFun f := ⟨(forget₂ (FgModule k) (ModuleCat k)).map f.hom, f.comm⟩
-  left_inv _ := by
-    ext
-    rfl
-  right_inv _ := by
-    ext
-    rfl
+  left_inv _ := by ext; rfl
+  right_inv _ := by ext; rfl
 #align fdRep.forget₂_hom_linear_equiv FdRep.forget₂HomLinearEquiv
 
 end FdRep
@@ -157,10 +145,8 @@ namespace FdRep
 variable {k G : Type u} [Field k] [Group G]
 
 -- Verify that the right rigid structure is available when the monoid is a group.
-noncomputable instance : RightRigidCategory (FdRep k G) :=
-  by
-  change right_rigid_category (Action (FgModule k) (GroupCat.of G))
-  infer_instance
+noncomputable instance : RightRigidCategory (FdRep k G) := by
+  change right_rigid_category (Action (FgModule k) (GroupCat.of G)); infer_instance
 
 end FdRep

19a70dce

bump to nightly-2023-04-24-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/09079525fd01b3dda35e96adaa08d2f943e1648c

ff662d55

Diff

@@ -44,7 +44,7 @@ open CategoryTheory
 
 open CategoryTheory.Limits
 
-/- ./././Mathport/Syntax/Translate/Command.lean:323:31: unsupported: @[derive] abbrev -/
+/- ./././Mathport/Syntax/Translate/Command.lean:328:31: unsupported: @[derive] abbrev -/
 /-- The category of finite dimensional `k`-linear representations of a monoid `G`. -/
 abbrev FdRep (k G : Type u) [Field k] [Monoid G] :=
   Action (FgModule.{u} k) (MonCat.of G)

19a70dce

bump to nightly-2023-03-21-14

mathlib commit https://github.com/leanprover-community/mathlib/commit/290a7ba01fbcab1b64757bdaa270d28f4dcede35

4b782568

Diff

@@ -47,7 +47,7 @@ open CategoryTheory.Limits
 /- ./././Mathport/Syntax/Translate/Command.lean:323:31: unsupported: @[derive] abbrev -/
 /-- The category of finite dimensional `k`-linear representations of a monoid `G`. -/
 abbrev FdRep (k G : Type u) [Field k] [Monoid G] :=
-  Action (FgModule.{u} k) (Mon.of G)
+  Action (FgModule.{u} k) (MonCat.of G)
 #align fdRep FdRep
 
 namespace FdRep
@@ -86,14 +86,14 @@ def ρ (V : FdRep k G) : G →* V →ₗ[k] V :=
 
 /-- The underlying `linear_equiv` of an isomorphism of representations. -/
 def isoToLinearEquiv {V W : FdRep k G} (i : V ≅ W) : V ≃ₗ[k] W :=
-  FgModule.isoToLinearEquiv ((Action.forget (FgModule k) (Mon.of G)).mapIso i)
+  FgModule.isoToLinearEquiv ((Action.forget (FgModule k) (MonCat.of G)).mapIso i)
 #align fdRep.iso_to_linear_equiv FdRep.isoToLinearEquiv
 
 theorem Iso.conj_ρ {V W : FdRep k G} (i : V ≅ W) (g : G) :
     W.ρ g = (FdRep.isoToLinearEquiv i).conj (V.ρ g) :=
   by
   rw [FdRep.isoToLinearEquiv, ← FgModule.Iso.conj_eq_conj, iso.conj_apply]
-  rw [iso.eq_inv_comp ((Action.forget (FgModule k) (Mon.of G)).mapIso i)]
+  rw [iso.eq_inv_comp ((Action.forget (FgModule k) (MonCat.of G)).mapIso i)]
   exact (i.hom.comm g).symm
 #align fdRep.iso.conj_ρ FdRep.Iso.conj_ρ
 
@@ -105,7 +105,7 @@ def of {V : Type u} [AddCommGroup V] [Module k V] [FiniteDimensional k V]
 #align fdRep.of FdRep.of
 
 instance : HasForget₂ (FdRep k G) (Rep k G)
-    where forget₂ := (forget₂ (FgModule k) (ModuleCat k)).mapAction (Mon.of G)
+    where forget₂ := (forget₂ (FgModule k) (ModuleCat k)).mapAction (MonCat.of G)
 
 theorem forget₂_ρ (V : FdRep k G) : ((forget₂ (FdRep k G) (Rep k G)).obj V).ρ = V.ρ :=
   by

19a70dce

bump to nightly-2023-02-21-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc

1107b979

Changes in mathlib4

mathlib3

mathlib4

19a70dce

doc: replace mathlib3 names in doc comments (#11952)

A few miscellaneous directories: RingTheory, SetTheory, Combinatorics and CategoryTheory.

Co-authored-by: Scott Morrison <scott@tqft.net>

de7e5c09

Diff

@@ -46,7 +46,7 @@ open CategoryTheory
 
 open CategoryTheory.Limits
 
-set_option linter.uppercaseLean3 false -- `fdRep`
+set_option linter.uppercaseLean3 false -- `FdRep`
 
 /-- The category of finite dimensional `k`-linear representations of a monoid `G`. -/
 abbrev FdRep (k G : Type u) [Field k] [Monoid G] :=

19a70dce

doc(RepresentationTheory): add some doc for three basic files (#11643)

Add some doc concerning Schur's lemma, orthogonality of characters and irreducible representations being defined as simple objects.

7f145201

Diff

@@ -20,6 +20,10 @@ Also `V.ρ` gives the homomorphism `G →* (V →ₗ[k] V)`.
 Conversely, given a homomorphism `ρ : G →* (V →ₗ[k] V)`,
 you can construct the bundled representation as `Rep.of ρ`.
 
+We prove Schur's Lemma: the dimension of the `Hom`-space between two irreducible representation is
+`0` if they are not isomorphic, and `1` if they are.
+This is the content of `finrank_hom_simple_simple`
+
 We verify that `FdRep k G` is a `k`-linear monoidal category, and rigid when `G` is a group.
 
 `FdRep k G` has all finite limits.
@@ -125,7 +129,8 @@ open scoped Classical
 -- deterministic timeout.
 instance : HasKernels (FdRep k G) := by infer_instance
 
--- Verify that Schur's lemma applies out of the box.
+/-- Schur's Lemma: the dimension of the `Hom`-space between two irreducible representation is `0` if
+they are not isomorphic, and `1` if they are. -/
 theorem finrank_hom_simple_simple [IsAlgClosed k] (V W : FdRep k G) [Simple V] [Simple W] :
     finrank k (V ⟶ W) = if Nonempty (V ≅ W) then 1 else 0 :=
   CategoryTheory.finrank_hom_simple_simple k V W

19a70dce

doc(RepresentationTheory/FdRep): fix spelling typo (#11410)

a81a438d

Diff

@@ -159,7 +159,7 @@ namespace FdRep
 
 -- The variables in this section are slightly weird, living half in `Representation` and half in
 -- `FdRep`. When we have a better API for general monoidal closed and rigid categories and these
--- structures on `FdRep`, we should remove the dependancy of statements about `FdRep` on
+-- structures on `FdRep`, we should remove the dependency of statements about `FdRep` on
 -- `Representation.linHom` and `Representation.dual`. The isomorphism `dualTensorIsoLinHom`
 -- below should then just be obtained from general results about rigid categories.
 open Representation

19a70dce

feat: use suppress_compilation in tensor products (#7504)

More principled version of #7281.

9ff5b6f1

Diff

@@ -34,6 +34,7 @@ We verify that `FdRep k G` is a `k`-linear monoidal category, and rigid when `G`
 
 -/
 
+suppress_compilation
 
 universe u

19a70dce

style: fix wrapping of where (#7149)

084cfb35

Diff

@@ -102,8 +102,8 @@ def of {V : Type u} [AddCommGroup V] [Module k V] [FiniteDimensional k V]
   ⟨FGModuleCat.of k V, ρ⟩
 #align fdRep.of FdRep.of
 
-instance : HasForget₂ (FdRep k G) (Rep k G)
-    where forget₂ := (forget₂ (FGModuleCat k) (ModuleCat k)).mapAction (MonCat.of G)
+instance : HasForget₂ (FdRep k G) (Rep k G) where
+  forget₂ := (forget₂ (FGModuleCat k) (ModuleCat k)).mapAction (MonCat.of G)
 
 theorem forget₂_ρ (V : FdRep k G) : ((forget₂ (FdRep k G) (Rep k G)).obj V).ρ = V.ρ := by
   ext g v; rfl

19a70dce

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

89aa3a3b

Diff

@@ -2,17 +2,14 @@
 Copyright (c) 2022 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module representation_theory.fdRep
-! leanprover-community/mathlib commit 19a70dceb9dff0994b92d2dd049de7d84d28112b
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.RepresentationTheory.Rep
 import Mathlib.Algebra.Category.FGModuleCat.Limits
 import Mathlib.CategoryTheory.Preadditive.Schur
 import Mathlib.RepresentationTheory.Basic
 
+#align_import representation_theory.fdRep from "leanprover-community/mathlib"@"19a70dceb9dff0994b92d2dd049de7d84d28112b"
+
 /-!
 # `FdRep k G` is the category of finite dimensional `k`-linear representations of `G`.

19a70dce

feat: port RepresentationTheory.FdRep (#5612)

Co-authored-by: Johan Commelin <johan@commelin.net>

b4a49ec9

`representation_theory.fdRep` ⟷ `Mathlib.RepresentationTheory.FdRep`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 11 + 878

representation_theory.fdRep ⟷ Mathlib.RepresentationTheory.FdRep

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 11 + 878

`representation_theory.fdRep` ⟷ `Mathlib.RepresentationTheory.FdRep`