Iwahori Matsumoto presentation for modules of Iwahori fixed functions on symmetric spaces
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912977998839808 |
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| author | Shtotland, Guy |
| author_facet | Shtotland, Guy |
| contents | We study the space $S(X)^I$ of smooth functions on a symmetric space $X=G/H$ invariant to the action of an Iwahori subgroup $I$, as a module over $\mathcal{H}(G,I)$, the Iwahori Hecke algebra of a p-adic group $G$. We present a description of this module that generalizes the description given to $\mathcal{H}(G,I)$ by Iwahori and Matsumoto. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_16070 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Iwahori Matsumoto presentation for modules of Iwahori fixed functions on symmetric spaces Shtotland, Guy Representation Theory 22E50, 20C08 We study the space $S(X)^I$ of smooth functions on a symmetric space $X=G/H$ invariant to the action of an Iwahori subgroup $I$, as a module over $\mathcal{H}(G,I)$, the Iwahori Hecke algebra of a p-adic group $G$. We present a description of this module that generalizes the description given to $\mathcal{H}(G,I)$ by Iwahori and Matsumoto. |
| title | Iwahori Matsumoto presentation for modules of Iwahori fixed functions on symmetric spaces |
| topic | Representation Theory 22E50, 20C08 |
| url | https://arxiv.org/abs/2406.16070 |