The boundedness of Lusztig's $a$-function for Coxeter groups of finite rank
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_ | 1866908539119730688 |
|---|---|
| author | Chen, Xiaoyu Hu, HongSheng |
| author_facet | Chen, Xiaoyu Hu, HongSheng |
| contents | We prove that there exists a bound $N'_L(W)$ for a positively weighted Coxeter group $(W, S, L)$ of finite rank. In particular, Lusztig's $\boldsymbol{a}$-function of $(W, S, L)$ is bounded. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_06432 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The boundedness of Lusztig's $a$-function for Coxeter groups of finite rank Chen, Xiaoyu Hu, HongSheng Representation Theory 20F55 We prove that there exists a bound $N'_L(W)$ for a positively weighted Coxeter group $(W, S, L)$ of finite rank. In particular, Lusztig's $\boldsymbol{a}$-function of $(W, S, L)$ is bounded. |
| title | The boundedness of Lusztig's $a$-function for Coxeter groups of finite rank |
| topic | Representation Theory 20F55 |
| url | https://arxiv.org/abs/2503.06432 |