Theorems · Definition · group theory

Representation.IsIrreducible

{G : Type u_1} →
  {k : Type u_2} →
    {V : Type u_3} →
      [inst : Monoid G] →
        [inst_1 : Field k] → [inst_2 : AddCommGroup V] → [inst_3 : Module k V] → Representation k G V → Prop

A representation ρ is irreducible if it is non-trivial and has no proper non-trivial subrepresentations.

Defined in

Mathlib.RepresentationTheory.Irreducible

Cited by

10 results in Mathlib

Foundations

Depth 45 from the axioms · uses propext, Quot.sound

Assumes

MonoidFieldAddCommGroupModule