60 citations · 582 across the 131 of their papers we have counts for
123 papers · 1 filter
Hybrid Kazhdan-Lusztig basis and parabolic induction
Volodymyr Mazorchuk, Shraddha Srivastava
We provide a categorification for the hybrid Kazhdan-Lusztig bases of the Hecke algebra by constructing and investigating a series of new stratified structures on the principal blo…
On the number of extension closed additive subcategories for uniformly oriented quivers
Volodymyr Mazorchuk
We provide a recurrence for computing the terms of the OEIS sequence A393920, introduced in \cite{KS}. We also describe a surprising connection between A393920 and the Fibonacci se…
Simple -modules that are torsion free -modules of rank
Dimitar Grantcharov, Libor Krizka, Volodymyr Mazorchuk
We provide an explicit classification of all simple -modules that are torsion free of rank over the Cartan subalgebra. We also establish a similar result for t…
Kostant cuspidal permutations
Samuel Creedon, Volodymyr Mazorchuk
In relation to Kostant's problem for simple highest weight modules over the general linear Lie algebra, we prove a persistence result for Kostant negative consecutive patterns. Ins…
Hecke combinatorics, Kåhrstr{ö}m's conditions and Kostant's problem
Samuel Creedon, Volodymyr Mazorchuk
This paper discusses various aspects of the Hecke algebra combinatorics that are related to conditions appearing in Kåhrstr{ö}m's conjecture that addresses Kostant's problem for si…
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…