Theorems · Definition · group theory
Rep.Tor
(k G : Type u) →
[inst : CommRing k] →
[inst_1 : Group G] →
ℕ → CategoryTheory.Functor (Rep.{u, u, u} k G) (CategoryTheory.Functor (Rep.{u, u, u} k G) (ModuleCat k))The left-derived functors given by deriving the second argument of A, B ↦ (A ⊗[k] B)_G.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 113 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.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- Groupstatement and proof · cited by 6,238
- ModuleCatstatement · cited by 1,429
- Repstatement and proof · cited by 843
- CategoryTheory.Functor.leftDerivedproof · cited by 29
- Rep.coinvariantsTensorproof · cited by 13
- CategoryTheory.NatTrans.leftDerivedproof · cited by 8
Cited by5
Results whose statement or proof uses this declaration.
- groupHomologyIsoTorstatement · cited by 1
- Rep.isZero_Tor_succ_of_projectivestatement · cited by 1
- Rep.torIsostatement · cited by 0
- Rep.Tor_mapstatement and proof · cited by 0
- Rep.Tor_objstatement and proof · cited by 0