Modules over Fomin-Kirillov algebras and their subalgebras
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866909358885961728 |
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| author | Greenfeld, Be'eri Mathison, Sarah Saini, Aditya Wynn, Scott |
| author_facet | Greenfeld, Be'eri Mathison, Sarah Saini, Aditya Wynn, Scott |
| contents | We compute the truncated point schemes of subalgebras of Fomin-Kirillov algebras associated with certain graphs. While Fomin-Kirillov algebras do not admit any truncated point modules, we prove a tight bound on the degrees of truncated point modules over generalized Fomin-Kirillov algebras associated with trees. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_16578 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Modules over Fomin-Kirillov algebras and their subalgebras Greenfeld, Be'eri Mathison, Sarah Saini, Aditya Wynn, Scott Rings and Algebras We compute the truncated point schemes of subalgebras of Fomin-Kirillov algebras associated with certain graphs. While Fomin-Kirillov algebras do not admit any truncated point modules, we prove a tight bound on the degrees of truncated point modules over generalized Fomin-Kirillov algebras associated with trees. |
| title | Modules over Fomin-Kirillov algebras and their subalgebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2410.16578 |