Some geometric consequences of the symmetric reduction
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929298836815872 |
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| author | Deng, Taiwang |
| author_facet | Deng, Taiwang |
| contents | In this article, we derived some consequences to the symmetrization process developed in \cite{Deng23}. This consists a geometric derivation of part of the properties which uniquely determines the Kazhdan-Lusztig polynomials of type $A_n$ as well as an interpretations of the last property by the decomposition theorem of \cite{BBD}. Finally, the relation of geometry of graded nilpotent classes to Parabolic Kazhdan-Lusztig polynomials is discussed for the purpose of later applications to Zelevinsky's derivatives. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_00759 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Some geometric consequences of the symmetric reduction Deng, Taiwang Representation Theory Algebraic Geometry Combinatorics In this article, we derived some consequences to the symmetrization process developed in \cite{Deng23}. This consists a geometric derivation of part of the properties which uniquely determines the Kazhdan-Lusztig polynomials of type $A_n$ as well as an interpretations of the last property by the decomposition theorem of \cite{BBD}. Finally, the relation of geometry of graded nilpotent classes to Parabolic Kazhdan-Lusztig polynomials is discussed for the purpose of later applications to Zelevinsky's derivatives. |
| title | Some geometric consequences of the symmetric reduction |
| topic | Representation Theory Algebraic Geometry Combinatorics |
| url | https://arxiv.org/abs/2404.00759 |