On self-dual simple types of $p$-adic classical groups

Kazutoshi Kariyama; Michitaka Miyauchi

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arXiv · 1006.0053

On self-dual simple types of $p$-adic classical groups

Kazutoshi Kariyama·Michitaka Miyauchi

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Abstract

Let $G$ be a classical group over a non-Archimedean local field of odd residual characteristic. Using recent work of S. Stevens, we define a certain kind of semisimple stratum, called good, and show that it provides a simple type in $G$ which is an analogue of the simple type for $GL(N,F)$ defined by Bushnell and Kutzko. Furthermore, we define a self-dual simple type in $G$.

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Kazutoshi Kariyama, Michitaka Miyauchi. 2010-06-01. On self-dual simple types of $p$-adic classical groups. https://arxiv.org/abs/1006.0053

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