Samuel Creedon

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20242026

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math.RT2026

Kostant's problem for permutations of shape $(n - 2, 1, 1)$ and $(n - 3, 2, 1)$

Samuel Creedon, Volodymyr Mazorchuk

For a permutation $z$ in the symmetric group $S_{n}$ , denote by $L_{z}$ the corresponding simple highest weight module in the principal block of the BGG category $\mathcal…

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…

math.RT2024

Almost all permutations and involutions are Kostant negative

Samuel Creedon, Volodymyr Mazorchuk

We prove that, when $n$ 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}…

Kostant's problem for permutations of shape (n−2,1,1) and (n−3,2,1)

A stability phenomenon in Kazhdan-Lusztig combinatorics

Consecutive Patterns, Kostant's Problem and Type A6​

Almost all permutations and involutions are Kostant negative

Kostant's problem for permutations of shape $(n - 2, 1, 1)$ and $(n - 3, 2, 1)$

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