Decomposition numbers of the cyclotomic Brauer algebra over the complex field, II
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912218958790656 |
|---|---|
| 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 |