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math.RT2026
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…
math.RT2026
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…