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Mathematics > Representation Theory

Title: Some homological properties of category $\mathcal{O}$, VII

Abstract: We describe Calabi-Yau objects in the regular block of the (parabolic) BGG category $\mathcal{O}$ associated to a semi-simple finite dimensional complex Lie algebra. Each such object comes with a natural transformation from the Serre functor to a shifted identity whose evaluation at that object is an isomorphism.
Subjects: Representation Theory (math.RT)
Cite as: arXiv:2403.05258 [math.RT]
  (or arXiv:2403.05258v1 [math.RT] for this version)

Submission history

From: Volodymyr Mazorchuk [view email]
[v1] Fri, 8 Mar 2024 12:29:52 GMT (44kb)

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