Proof of the $p$-adic Kazhdan-Lusztig hypothesis for $\mathrm{GL}(n)$
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912931161047040 |
|---|---|
| author | Balodis, Kristaps John |
| author_facet | Balodis, Kristaps John |
| contents | In this article, we prove the $p$-adic Kazhdan-Lusztig hypothesis for $\mathrm{GL}_n(F)$. While the approach via graded affine Hecke algebras due to recent work of Solleveld leads to more general results, this article serves to completes and clarifies the approach via affine Hecke algebras of Chriss and Ginzburg. In particular, this article serves as an opportunity to articulate several results which are undoubtedly known to experts, but have not been formally recorded in the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_09788 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Proof of the $p$-adic Kazhdan-Lusztig hypothesis for $\mathrm{GL}(n)$ Balodis, Kristaps John Representation Theory 11F70, 32S60 In this article, we prove the $p$-adic Kazhdan-Lusztig hypothesis for $\mathrm{GL}_n(F)$. While the approach via graded affine Hecke algebras due to recent work of Solleveld leads to more general results, this article serves to completes and clarifies the approach via affine Hecke algebras of Chriss and Ginzburg. In particular, this article serves as an opportunity to articulate several results which are undoubtedly known to experts, but have not been formally recorded in the literature. |
| title | Proof of the $p$-adic Kazhdan-Lusztig hypothesis for $\mathrm{GL}(n)$ |
| topic | Representation Theory 11F70, 32S60 |
| url | https://arxiv.org/abs/2510.09788 |