Theorems · Definition · group theory
Representation.ofMulDistribMulAction
(M : Type u_1) →
(G : Type u_2) →
[inst : Monoid M] → [inst_1 : CommGroup G] → [MulDistribMulAction M G] → Representation ℤ M (Additive G)Turns a CommGroup G with a MulDistribMulAction of a monoid M into a
ℤ-linear M-representation on Additive G.
- Defined in
- Mathlib.RepresentationTheory.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- CommGroupstatement and proof · cited by 990
- MonoidHom.compproof · cited by 469
- Representationstatement · cited by 396
- Additivestatement and proof · cited by 356
- MonoidHomClass.toMonoidHomproof · cited by 294
- MulDistribMulActionstatement and proof · cited by 120
- MulDistribMulAction.toMonoidEndproof · cited by 15
- addMonoidEndRingEquivIntproof · cited by 2
- monoidEndToAdditiveproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Rep.ofMulDistribMulActionproof · cited by 12
- Representation.ofMulDistribMulAction_apply_applystatement · cited by 0
- Representation.norm_ofMulDistribMulAction_eqstatement and proof · cited by 0