mathlib3 documentation


Results about the grading structure of the exterior algebra #

THIS FILE IS SYNCHRONIZED WITH MATHLIB4. Any changes to this file require a corresponding PR to mathlib4.

Many of these results are copied with minimal modification from the tensor algebra.

The main result is exterior_algebra.graded_algebra, which says that the exterior algebra is a ℕ-graded algebra.

A version of exterior_algebra.ι that maps directly into the graded structure. This is primarily an auxiliary construction used to provide exterior_algebra.graded_algebra.

@[protected, instance]

The exterior algebra is graded by the powers of the submodule (exterior_algebra.ι R).range.