FILTRATIONS DEFINED BY LATTICE SEQUENCES FOR p-ADIC CLASSICAL GROUPS

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概要

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• Let F_0 be a non-Archimedean local field of residual characteristic not two, and G be a classical group defined over F_0. In this paper, we prove that a filtration of the Lie algebra of G given by a self-dual lattice sequence is equal to a Moy-Prasad filtration of it, and determine a point of the Bruhat-Tits building of G which gives the Moy-Prasad filtration. As an application, we prove that an irreducible smooth representation of G contains a fundamental stratum for a reductive subgroup of G whose self-dual lattice sequence is strict, that is, a self-dual lattice chain.

• 尾道大学の論文

著者

• 刈山 和俊

  尾道大学

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• FILTRATIONS DEFINED BY LATTICE SEQUENCES FOR p-ADIC CLASSICAL GROUPS

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