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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.

Defined in
Mathlib.RepresentationTheory.Coinvariants
Cited by
4 results in Mathlib
Foundations
Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingMonoid

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Cited by4

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