5 papers · 2 filters
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…
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 KÃ¥hrstr{ö}m's conjecture that addresses Kostant's problem for…
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…
Consecutive Patterns, Kostant's Problem and Type
Samuel Creedon, Volodymyr Mazorchuk
For a permutation in the symmetric group , let denote the simple highest weight module in the principal block of the BGG category for the…
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…