Theorems · Definition · group theory
groupHomology.shortComplexH0
{k G : Type u} →
[inst : CommRing k] → [inst_1 : Group G] → Rep.{u, u, u} k G → CategoryTheory.ShortComplex (ModuleCat k)The (exact) short complex (G →₀ A) ⟶ A ⟶ A.ρ.coinvariants.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- CategoryTheory.NatTrans.appproof · cited by 7,406
- Groupstatement and proof · cited by 6,238
- CategoryTheory.ShortComplexstatement · cited by 1,850
- ModuleCatstatement · cited by 1,429
- Repstatement and proof · cited by 843
- groupHomology.d₁₀proof · cited by 29
- Rep.coinvariantsMkproof · cited by 26
- groupHomology.d₁₀_comp_coinvariantsMkproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- groupHomology.pOpcycles_comp_opcyclesIso_homproof · cited by 4
- groupHomology.shortComplexH0_exactstatement and proof · cited by 0
- groupHomology.shortComplexH0_fstatement and proof · cited by 0
- groupHomology.shortComplexH0_gstatement and proof · cited by 0