On the combinatorics of unramified admissible modules
| dc.creator | Kato, Syu | |
| dc.date | 2004-02-20 | |
| dc.date | 2005-08-06 | |
| dc.date.accessioned | 2026-07-07T06:30:26Z | |
| dc.date.available | 2026-07-07T06:30:26Z | |
| dc.description | We construct a certain topological algebra $\Ext ^{\sharp}_{G ^{\vee}} X (χ)$ from a Deligne-Langlands parameter space $X (χ)$ attached to the group of rational points of a connected split reductive algebraic group $G$ over a non-Archimedean local field $\mathbb K$. Then we prove the equivalence between the category of continuous modules of $\Ext ^{\sharp}_{G ^{\vee}} X (χ)$ and the category of unramified admissible modules of $G (\mathbb K)$ with a generalized infinitesimal character corresponding to $χ$. This is an analogue of Soergel's conjecture which concerns the real reductive setting. | |
| dc.description | v2. added a section about equivariant derived category and fixed a name about Soergel's question, 15pp, to appear in Publ. RIMS | |
| dc.identifier | https://arxiv.org/abs/math/0402335 | |
| dc.identifier | http://arxiv.org/abs/math/0402335 | |
| dc.identifier | Publ. Res. Inst. Math. Sci. 42 no.2 589--603 (2006) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98338 | |
| dc.subject | Representation Theory | |
| dc.subject | Rings and Algebras | |
| dc.title | On the combinatorics of unramified admissible modules | |
| dc.type | text |