Theorems · Definition · group theory
tateComplexConnectData
{R G : Type u} →
[inst : CommRing R] →
[inst_1 : Group G] →
[Fintype G] →
(M : Rep.{u, u, u} R G) →
CochainComplex.ConnectData (groupHomology.inhomogeneousChains M) (groupCohomology.inhomogeneousCochains M)The Tate norm connecting complexes of inhomogeneous chains and cochains.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Fintypestatement and proof · cited by 7,736
- Groupstatement and proof · cited by 6,238
- ModuleCatstatement · cited by 1,429
- Repstatement and proof · cited by 843
- groupHomology.inhomogeneousChainsstatement · cited by 90
- groupCohomology.inhomogeneousCochainsstatement · cited by 83
- CochainComplex.ConnectDatastatement · cited by 29
- Rep.tateNormproof · cited by 5
- Rep.d_comp_tateNormproof · cited by 0
- Rep.tateNorm_comp_dproof · cited by 0
Cited by7
Results whose statement or proof uses this declaration.
- tateComplexproof · cited by 7
- tateComplex.mapproof · cited by 3
- tateComplex.map_addproof · cited by 0
- tateComplex.map_zeroproof · cited by 0
- tateComplexConnectData_d₀statement and proof · cited by 0
- TateCohomology.isoGroupCohomologyproof · cited by 0
- TateCohomology.isoGroupHomologyproof · cited by 0