Some homological properties of category $\mathcal{O}$, VII
Representation Theory
2025-03-18 v2
Abstract
We describe Calabi-Yau objects in the regular block of the (parabolic) BGG category 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.
Keywords
Cite
@article{arxiv.2403.05258,
title = {Some homological properties of category $\mathcal{O}$, VII},
author = {Volodymyr Mazorchuk},
journal= {arXiv preprint arXiv:2403.05258},
year = {2025}
}
Comments
Revised version with some minor changes following the comments of the referee