Samuel Creedon

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20242026

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math.RT2025

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…

math.RT2025

A stability phenomenon in Kazhdan-Lusztig combinatorics

Samuel Creedon, Volodymyr Mazorchuk

We prove that, when $n$ goes to infinity, the expression, with respect to the dual Kazhdan-Lusztig basis, of the product $H^_{x} H_{y}$ of elements of the d…

math.RT2025

Consecutive Patterns, Kostant's Problem and Type $A_{6}$

Samuel Creedon, Volodymyr Mazorchuk

For a permutation $w$ in the symmetric group $S_{n}$ , let $L (w)$ denote the simple highest weight module in the principal block of the BGG category $O$ for the…

Hecke combinatorics, Kåhrstr{ö}m's conditions and Kostant's problem

A stability phenomenon in Kazhdan-Lusztig combinatorics

Consecutive Patterns, Kostant's Problem and Type A6​

Consecutive Patterns, Kostant's Problem and Type $A_{6}$