Resolutions of tempered representations of reductive p-adic groups
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| Publication date | 2013 |
| Journal | Journal of Functional Analysis |
| Volume | Issue number | 265 | 1 |
| Pages (from-to) | 108-134 |
| Organisations |
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| Abstract |
Let G be a reductive group over a non-archimedean local field and let S(G) be its Schwartz algebra. We compare Ext-groups of tempered G-representations in several module categories: smooth G-representations, algebraic S(G)-modules, bornological S(G)-modules and an exact category of S(G)-modules on LF-spaces, which contains all admissible S(G)-modules. We simplify the proofs of known comparison theorems for these Ext-groups, due to Meyer and Schneider-Zink. Our method is based on the Bruhat-Tits building of G and on analytic properties of the Schneider-Stuhler resolutions. |
| Document type | Article |
| Language | English |
| Published at |
https://doi.org/10.1016/j.jfa.2013.04.001
(Final published version)
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