Let (H, A,C) be a threetuple, where H is a Hopf algebra coacting on an algebra A and acting on a coalgebra C, and M the category of representations of (H, A,C). Let z be a generalized grouplike element of (H, A,C) and B the subalgebra of z-coinvariants of the Verma structure A in M. We prove the following affineness criterion: if there exist a total z-normalized integral and if the canonical map is surjective, then the induction functor is an equivalence of categories.
The affineness criterion for Doi-Kopinnen modules
MENINI, Claudia;
2004
Abstract
Let (H, A,C) be a threetuple, where H is a Hopf algebra coacting on an algebra A and acting on a coalgebra C, and M the category of representations of (H, A,C). Let z be a generalized grouplike element of (H, A,C) and B the subalgebra of z-coinvariants of the Verma structure A in M. We prove the following affineness criterion: if there exist a total z-normalized integral and if the canonical map is surjective, then the induction functor is an equivalence of categories.File in questo prodotto:
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