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On adjoint functors of the Heller operator
Given an abelian category A with enough projectives, we can form its stable category _A_ := A/Proj(A)$. The Heller operator Omega : _A_ -> _A_ is characterised on an object X by a choice of a short exact sequence Omega X -> P -> X in A with P projective. If A is Frobenius, then Omega is an equivalence, hence has a left and a right adjoint.
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Free Field Realisation of the Chiral Universal Centraliser. [PDF]
Beem C, Nair S.
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Categorical Torelli theorems: results and open problems. [PDF]
Pertusi L, Stellari P.
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Axioms for the category of Hilbert spaces. [PDF]
Heunen C, Kornell A.
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Adjointable Monoidal Functors and Quantum Groupoids [PDF]
16 pp, AMS Latex, Talk given at "Hopf Algebras in Noncommutative Geometry and Physics", Brussels, June ...
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Discriminants and Semi-orthogonal Decompositions. [PDF]
Kite A, Segal E.
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A simple characterization of Quillen adjunctions [PDF]
We observe that an enriched right adjoint functor between model categories which preserves acyclic fibrations and fibrant objects is quite generically a right Quillen functor.
arxiv
Adjoint and Frobenius Pairs of Functors for Corings [PDF]
Mohssin Zarouali-Darkaoui
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