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arXiv · 2406.16070

Iwahori Matsumoto presentation for modules of Iwahori fixed functions on symmetric spaces

Guy Shtotland
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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.

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BibTeXRIS

Guy Shtotland. 2024-06-23. Iwahori Matsumoto presentation for modules of Iwahori fixed functions on symmetric spaces. https://doi.org/10.1093/imrn%2Frnag042

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