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arXiv · 1704.00407

Involutions on pro-$p$-Iwahori Hecke algebras

Noriyuki Abe
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Abstract

The pro-$p$-Iwahori Hecke algebra has an involution $\iota$ defined in terms of Iwahori-Matsumoto basis. Then for a module $\pi$ of pro-$p$-Iwahori Hecke, $\pi^\iota = \pi\circ \iota$ is also a module. We calculate $\pi^\iota$ for simple modules $\pi$. We also calculate the dual of $\pi$.

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BibTeXRIS

Noriyuki Abe. 2017-04-03. Involutions on pro-$p$-Iwahori Hecke algebras. https://arxiv.org/abs/1704.00407

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