6 papers · 2 filters
Endomorphisms of cell 2-representations
Volodymyr Mazorchuk, Vanessa Miemietz
We determine the endomorphism categories of cell 2-representations of fiat 2-categories associated with strongly regular two-sided cells under some natural assumptions. Along the w…
Combinatorics of monoidal actions in Lie-algebraic context
Volodymyr Mazorchuk, Xiaoyu Zhu
This paper is, essentially, a survey related to the problem of understanding the combinatorics of the action of the monoidal category of finite dimensional modules over a simple fi…
Whittaker categories, properly stratified categories and Fock space categorification for Lie superalgebras
Chih-Whi Chen, Shun-Jen Cheng, Volodymyr Mazorchuk
We study various categories of Whittaker modules over a type I Lie superalgebra realized as cokernel categories that fit into the framework of properly stratified categories. These…
Serre functors for Lie superalgebras and tensoring with
Chih-Whi Chen, Volodymyr Mazorchuk
We show that the action of the Serre functor on the subcategory of projective-injective modules in a parabolic BGG category of a quasi-reductive finite dimensional Lie…
A stability phenomenon in Kazhdan-Lusztig combinatorics
Samuel Creedon, Volodymyr Mazorchuk
We prove that, when goes to infinity, the expression, with respect to the dual Kazhdan-Lusztig basis, of the product of elements of the d…
Some homological properties of category , VII
Volodymyr Mazorchuk
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 obje…