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Questions related to the Bernstein-Gelfand-Gelfand category O and generalizations

4 votes
2 answers
451 views

Serre functor of a subcategory (in particular parabolic category O)

For an additive category $\mathcal C$ there is the notion of a Serre functor on $\mathcal C$, i.e. a an autoequivalence $S$ of $C$ such that there exist isomorphisms $$Hom(A, S(B)) \cong Hom(B, A)^*$$ …
Clemens Koppensteiner's user avatar