Theorems · Definition · group theory
Rep.free
(k : Type u) → (G : Type v) → [inst : CommRing k] → [inst_1 : Monoid G] → Type u' → Rep.{max (max u u') v, u, v} k GThe representation on α →₀ k[G] defined pointwise by the left regular representation on
k[G].
- Defined in
- Mathlib.RepresentationTheory.Rep.Basic
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Monoidstatement and proof · cited by 3,887
- Repstatement · cited by 843
- Rep.ofproof · cited by 57
- Representation.freeproof · cited by 14
Cited by18
Results whose statement or proof uses this declaration.
- Rep.barComplex.dstatement and proof · cited by 5
- Rep.barComplexproof · cited by 4
- Rep.finsuppToCoinvariantsTensorFreestatement and proof · cited by 3
- Rep.coinvariantsTensorFreeToFinsuppstatement and proof · cited by 3
- Rep.barComplex.d_singlestatement and proof · cited by 3
- Rep.freeLiftLEquivstatement and proof · cited by 2
- Rep.coinvariantsTensorFreeLEquivstatement · cited by 2
- Rep.diagonalSuccIsoFreestatement · cited by 1
- Rep.finsuppToCoinvariantsTensorFree_singleproof · cited by 1
- Rep.free_extstatement and proof · cited by 1
- Rep.leftRegularTensorTrivialIsoFreestatement · cited by 1
- Rep.freeLiftstatement · cited by 0