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- W2335981441 abstract "We describe Serre functors for (generalisations of) the category O associ- ated with a semisimple complex Lie algebra. In our approach, projective-injective modules, that is modules which are both, projective and injective, play an important role. They con- trol the Serre functor in the case of a quasi-hereditary algebra having a double centraliser with respect to a projective-injective module whose endomorphism ring is a symmetric al- gebra. As an application of the double centraliser property together with our description of Serre functors, we prove three conjectures of Khovanov about the projective-injective mod- ules in the parabolic category O m ðslnÞ." @default.
- W2335981441 created "2016-06-24" @default.
- W2335981441 creator A5049040505 @default.
- W2335981441 date "2008-01-01" @default.
- W2335981441 modified "2023-09-27" @default.
- W2335981441 title "Projective-injective modules, Serre functors and symmetric algebras" @default.
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