60 citations · 582 across the 131 of their papers we have counts for
6 papers · 1 filter
Graded extensions of Verma modules
Hankyung Ko, Volodymyr Mazorchuk
In this paper, we investigate extensions between graded Verma modules in the BGG category . In particular, we determine exactly which information about extensions betw…
On symmetric closed subsets of real affine root systems
Dipnit Biswas, Irfan Habib, R. Venkatesh
Any symmetric closed subset of a finite crystallographic root system must be a closed subroot system. This is not, in general, true for real affine root systems. In this paper, we…
Multiparameter colored partition category and the product of the reduced Kronecker coefficients
Volodymyr Mazorchuk, Shraddha Srivastava
We introduce and study a multiparameter colored partition category by extending the construction of the partition category, over an algebraically close…
Finite quotients of singular Artin monoids and categorification of the desingularization map
Helena Jonsson, Volodymyr Mazorchuk, Elin Persson Westin +3
We study various aspects of the structure and representation theory of singular Artin monoids. This includes a number of generalizations of the desingularization map and explicit p…
Kostant's problem for fully commutative permutations
Marco Mackaay, Volodymyr Mazorchuk, Vanessa Miemietz
We give a complete combinatorial answer to Kostant's problem for simple highest weight modules indexed by fully commutative permutations. We also propose a reformulation of Kostant…
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…