FILTRATIONS DEFINED BY LATTICE SEQUENCES FOR p-ADIC CLASSICAL GROUPS

URI http://harp.lib.hiroshima-u.ac.jp/onomichi-u/metadata/3017
File
Title
FILTRATIONS DEFINED BY LATTICE SEQUENCES FOR p-ADIC CLASSICAL GROUPS
Author
氏名 刈山 和俊
ヨミ カリヤマ カズトシ
別名 KARIYAMA KAZUTOSHI
Abstract

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.

Description

尾道大学

Department of Economics, Management and Information Science Onomichi University

論文

Article

Journal Title
尾道大学経済情報論集
Volume
3
Issue
2
Spage
31
Epage
64
Published Date
2003-12-31
Publisher
尾道大学経済情報学部
ISSN
1346-9991
NCID
AA11597272
Self DOI
Language
eng
NIIType
Departmental Bulletin Paper
Text Version
出版社版
Old URI
Set
onomichi-u