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arXiv · 2411.13043

Almost all permutations and involutions are Kostant negative

Samuel Creedon·Volodymyr Mazorchuk
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Abstract

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 $\mathcal{O}$ for the Lie algebra $\mathfrak{sl}_n(\mathbb{C})$.

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Samuel Creedon, Volodymyr Mazorchuk. 2024-11-20. Almost all permutations and involutions are Kostant negative. https://arxiv.org/abs/2411.13043

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