Theorems · Definition · group theory
Rep.ofMulAction
(k : Type u) →
(G : Type v) → [inst : Ring k] → [inst_1 : Monoid G] → (H : Type w') → [MulAction G H] → Rep.{max u w', u, v} k GGiven a G-action on H, this is k[H] bundled with the natural representation
G →* End(k[H]) as a term of type Rep k G.
- Defined in
- Mathlib.RepresentationTheory.Rep.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by7
Results whose statement or proof uses this declaration.
- Rep.leftRegularproof · cited by 19
- Rep.standardComplex.forget₂ToModuleCatHomotopyEquiv_f_0_eqstatement · cited by 2
- Rep.standardComplex.εstatement · cited by 2
- Rep.diagonalproof · cited by 1
- Rep.linearizationOfMulActionIsostatement · cited by 1
- Rep.ofMulActionSubsingletonIsoTrivialstatement · cited by 0
- Rep.standardComplex.xIsostatement · cited by 0