Uniform bases for ideal arrangements
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866915483282833408 |
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| author | Enokizono, Makoto Horiguchi, Tatsuya Nagaoka, Takahiro Tsuchiya, Akiyoshi |
| author_facet | Enokizono, Makoto Horiguchi, Tatsuya Nagaoka, Takahiro Tsuchiya, Akiyoshi |
| contents | In this paper we introduce and study uniform bases for the ideal arrangements in all Lie types. Explicit uniform bases are given by Abe-Horiguchi-Masuda-Murai-Sato for types $A,B,C,G$ and we provide them for other types. Combining the explicit uniform bases with the work of Abe-Horiguchi-Masuda-Murai-Sato, we also obtain explicit presentations of the cohomology rings of regular nilpotent Hessenberg varieties in all Lie types. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1912_02448 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Uniform bases for ideal arrangements Enokizono, Makoto Horiguchi, Tatsuya Nagaoka, Takahiro Tsuchiya, Akiyoshi Algebraic Geometry Algebraic Topology Combinatorics Representation Theory 32S22, 17B22, 14M15 In this paper we introduce and study uniform bases for the ideal arrangements in all Lie types. Explicit uniform bases are given by Abe-Horiguchi-Masuda-Murai-Sato for types $A,B,C,G$ and we provide them for other types. Combining the explicit uniform bases with the work of Abe-Horiguchi-Masuda-Murai-Sato, we also obtain explicit presentations of the cohomology rings of regular nilpotent Hessenberg varieties in all Lie types. |
| title | Uniform bases for ideal arrangements |
| topic | Algebraic Geometry Algebraic Topology Combinatorics Representation Theory 32S22, 17B22, 14M15 |
| url | https://arxiv.org/abs/1912.02448 |