Theorems · Definition · group theory
Rep.coinvariantsAdjunction
(k : Type u) → (G : Type v) → [inst : CommRing k] → [inst_1 : Monoid G] → Rep.coinvariantsFunctor k G ⊣ Rep.trivialFunctor k G
The adjunction between the functor sending a representation to its coinvariants and the functor equipping a module with the trivial representation.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objproof · cited by 19,642
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- Monoidstatement and proof · cited by 3,887
- ModuleCatstatement and proof · cited by 1,429
- Repstatement and proof · cited by 843
- CategoryTheory.Adjunctionstatement · cited by 524
- ModuleCat.Hom.homproof · cited by 341
- Rep.ofHomproof · cited by 45
- Rep.coinvariantsFunctorstatement · cited by 34
- Rep.coinvariantsMkproof · cited by 26
Cited by4
Results whose statement or proof uses this declaration.
- Rep.coinvariantsAdjunction_counit_appstatement and proof · cited by 0
- Rep.coinvariantsAdjunction_homEquiv_apply_homstatement and proof · cited by 0
- Rep.coinvariantsAdjunction_homEquiv_symm_apply_homstatement · cited by 0
- Rep.coinvariantsAdjunction_unit_appstatement and proof · cited by 0