Theorems · Definition · group theory

Representation.invariants

{k : Type u_1} →
  {G : Type u_2} →
    {V : Type u_3} →
      [inst : CommRing k] →
        [inst_1 : Group G] → [inst_2 : AddCommGroup V] → [inst_3 : Module k V] → Representation k G V → Submodule k V

The subspace of invariants, consisting of the vectors fixed by all elements of G.

Defined in

Mathlib.RepresentationTheory.Invariants

Cited by

49 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Quot.sound

Assumes

CommRingGroupAddCommGroupModule