Theorems · Theorem · group theory
Rep.coinvariantsShortComplex_f
∀ {k : Type u} {G : Type v} [inst : CommRing k] [inst_1 : Group G] (A : Rep.{w, u, v} k G) (S : Subgroup G)
[inst_2 : S.Normal],
(A.coinvariantsShortComplex S).f =
Rep.ofHom
{ toLinearMap := (Representation.Coinvariants.ker (MonoidHom.comp A.ρ S.subtype)).subtype, isIntertwining' := ⋯ }- Cited by
- 0 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingGroupSubgroup.Normal
Around this declaration
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Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement · cited by 10,215
- Submodulestatement · cited by 7,192
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Repstatement and proof · cited by 843
- Rep.Vstatement · cited by 695
- CategoryTheory.ShortComplex.fstatement and proof · cited by 653
- Submodule.subtypestatement · cited by 480
- MonoidHom.compstatement · cited by 469
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