Iwahori Matsumoto presentation for modules of Iwahori fixed functions on symmetric spaces
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2024
- DOI:
- 10.48550/arXiv.2406.16070
- arXiv:
- arXiv:2406.16070
- Bibcode:
- 2024arXiv240616070S
- Keywords:
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- Mathematics - Representation Theory;
- 22E50
- E-Print:
- 35 pages, 2 figures