Some homological properties of category , VII
arXiv:2403.05258 · doi:10.1016/j.aim.2025.110201
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.
Revised version with some minor changes following the comments of the referee