Almost all permutations and involutions are Kostant negative
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915039959580672 |
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| author | Creedon, Samuel Mazorchuk, Volodymyr |
| author_facet | Creedon, Samuel Mazorchuk, Volodymyr |
| contents | 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 $\mathfrak{sl}_n(\mathbb{C})$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_13043 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Almost all permutations and involutions are Kostant negative Creedon, Samuel Mazorchuk, Volodymyr Representation Theory 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 $\mathfrak{sl}_n(\mathbb{C})$. |
| title | Almost all permutations and involutions are Kostant negative |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2411.13043 |