Theorems · Definition · group theory

Representation.Coinvariants.mk

{k : Type u_1} →
  {G : Type u_2} →
    {V : Type u_3} →
      [inst : CommRing k] →
        [inst_1 : Monoid G] →
          [inst_2 : AddCommGroup V] → [inst_3 : Module k V] → (ρ : Representation k G V) → V →ₗ[k] ρ.Coinvariants

The quotient map from a representation to its coinvariants as a linear map.

Defined in

Mathlib.RepresentationTheory.Coinvariants

Cited by

39 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingMonoidAddCommGroupModule