mathlib3 documentation

algebra.lie.base_change

Extension and restriction of scalars for Lie algebras #

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Lie algebras have a well-behaved theory of extension and restriction of scalars.

Main definitions #

Tags #

lie ring, lie algebra, extension of scalars, restriction of scalars, base change

@[protected, instance]
Equations
@[simp]
theorem lie_algebra.extend_scalars.bracket_tmul (R : Type u) (A : Type w) (L : Type v) [comm_ring R] [comm_ring A] [algebra R A] [lie_ring L] [lie_algebra R L] (s t : A) (x y : L) :