Theorems · Definition · group theory
Representation.leftRegular
(k : Type u_1) → [inst : Semiring k] → (G : Type u_2) → [inst_1 : Monoid G] → Representation k G (MonoidAlgebra k G)
The natural k-linear G-representation on k[G] induced by left multiplication in G.
- Defined in
- Mathlib.RepresentationTheory.Basic
- Cited by
- 39 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Monoidstatement and proof · cited by 3,887
- MonoidAlgebrastatement · cited by 590
- Representationstatement · cited by 396
- Representation.ofMulActionproof · cited by 15
Cited by55
Results whose statement or proof uses this declaration.
- Representation.freeproof · cited by 14
- Representation.IndV.mkstatement and proof · cited by 11
- Representation.IndVproof · cited by 11
- Representation.indstatement and proof · cited by 7
- Rep.coindToIndstatement · cited by 6
- Representation.coinvariantsTprodLeftRegularLEquivstatement and proof · cited by 5
- Rep.indToCoindstatement and proof · cited by 5
- Rep.indResHomEquivproof · cited by 4
- Representation.leftRegularMapEquivstatement and proof · cited by 4
- Rep.finsuppToCoinvariantsTensorFreeproof · cited by 3
- Rep.coinvariantsTensorFreeToFinsuppproof · cited by 3
- Rep.coinvariantsTensorIndHomproof · cited by 3