60 citations · 582 across the 131 of their papers we have counts for
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On the number of cokernel-closed additive subcategories for uniformly oriented quivers
Volodymyr Mazorchuk, Shuoyang Xu
We study the integer sequence that enumerates cokernel-closed, idempotent split, full, additive subcategories of the category of finite dimensional complex representations of a uni…
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…