Decomposition numbers of the cyclotomic Brauer algebra over the complex field, II
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912218958790656 |
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| author | Rui, Hebing Song, Linliang |
| author_facet | Rui, Hebing Song, Linliang |
| contents | Following Nazarov's suggestion, the cyclotomic Nazarov-Wenzl algebra is referred to as the cyclotomic Brauer algebra. This paper focuses on computing the decomposition numbers of the cyclotomic Brauer algebra over $\mathbb{C}$ with arbitrary parameters. We show that these decomposition numbers can be expressed in terms of the parabolic Kazhdan-Lusztig polynomials of type $D_n$, with a parabolic subgroup of type $A$, under Condition 1.2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_02081 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Decomposition numbers of the cyclotomic Brauer algebra over the complex field, II Rui, Hebing Song, Linliang Representation Theory Following Nazarov's suggestion, the cyclotomic Nazarov-Wenzl algebra is referred to as the cyclotomic Brauer algebra. This paper focuses on computing the decomposition numbers of the cyclotomic Brauer algebra over $\mathbb{C}$ with arbitrary parameters. We show that these decomposition numbers can be expressed in terms of the parabolic Kazhdan-Lusztig polynomials of type $D_n$, with a parabolic subgroup of type $A$, under Condition 1.2. |
| title | Decomposition numbers of the cyclotomic Brauer algebra over the complex field, II |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2502.02081 |