| Autor: |
Gurevich, Maxim |
| Jazyk: |
English<br />French |
| Rok vydání: |
2023 |
| Předmět: |
|
| Zdroj: |
Comptes Rendus. Mathématique, Vol 361, Iss G1, Pp 21-30 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
1778-3569 |
| DOI: |
10.5802/crmath.384 |
| Popis: |
For Iwahori-spherical representations of non-Archimedean general linear groups, Chan–Savin recently expressed the Whittaker functor as a restriction to an isotypic component of a finite Iwahori–Hecke algebra module. We generalize this method to describe principal degenerate Whittaker functors. Concurrently, we view Murnaghan’s formula for the Harish-Chandra–Howe character as a Grothendieck group expansion of the same module.Comparing the two approaches through the lens of Zelevinsky’s PSH-algebras, we obtain an explicit unitriangular transition matrix between coefficients of the character expansion and the principal degenerate Whittaker dimensions. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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