Theorems · Definition · group theory

Representation.invtSubmodule

{k : Type u_1} →
  {G : Type u_2} →
    {V : Type u_3} →
      [inst : CommSemiring k] →
        [inst_1 : Monoid G] →
          [inst_2 : AddCommMonoid V] → [inst_3 : Module k V] → Representation k G V → Sublattice (Submodule k V)

Given a representation ρ of a group, ρ.invtSubmodule is the sublattice of all ρ-invariant submodules.

Defined in

Mathlib.RepresentationTheory.Submodule

Cited by

7 results in Mathlib

Foundations

Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringMonoidAddCommMonoidModule