6 papers
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…
Kostant's problem for permutations of shape and
Samuel Creedon, Volodymyr Mazorchuk
For a permutation in the symmetric group , denote by the corresponding simple highest weight module in the principal block of the BGG category $\mathcal…
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…
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…
Almost all permutations and involutions are Kostant negative
Samuel Creedon, Volodymyr Mazorchuk
We prove that, when goes to infinity, Kostant's problem has negative answer for almost all simple highest weight modules in the principal block of the BGG category $\mathcal{O}…