SEMISIMPLE CHARACTERS FOR INNER FORMS II: QUATERNIONIC FORMS OF p-ADIC CLASSICAL GROUPS (p ODD)

doi:10.1090/ert/544

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	SEMISIMPLE CHARACTERS FOR INNER FORMS II: QUATERNIONIC FORMS OF p-ADIC CLASSICAL GROUPS (p ODD)
	Skodlerack, Daniel
	2020-07-29
发表期刊	REPRESENTATION THEORY (IF:0.7[JCR-2023],0.6[5-Year])
ISSN	1088-4165
卷号	24 页码:323-359
发表状态	已发表
DOI	10.1090/ert/544
摘要	In this article we consider the set G of rational points of a quaternionic form of a symplectic or an orthogonal group defined over a non-Archimedean local field of odd residue characteristic. We construct all full self-dual semisimple characters for G and we classify their intertwining classes using endo-parameters. We compute the set of intertwiners between self-dual semisimple characters, and prove an intertwining and conjugacy theorem. Finally we count all G-intertwining classes of full self-dual semisimple characters which lift to the same (G) over tilde -intertwining class of a full semisimple character for the ambient general linear group (G) over tilde for G.
URL	查看原文
收录类别	SCI ; SCIE
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000557722400001
出版者	AMER MATHEMATICAL SOC
WOS关键词	SUPERCUSPIDAL REPRESENTATIONS ; SMOOTH REPRESENTATIONS
原始文献类型	Article
引用统计	正在获取...
文献类型	期刊论文
条目标识符	https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/122934
专题	数学科学研究所_PI研究组(P)_Daniel Skodlerack组
通讯作者	Skodlerack, Daniel
作者单位	ShanghaiTech Univ, Inst Math Sci, 393 Huaxia Middle Rd, Pudong 201210, Peoples R China
第一作者单位	数学科学研究所
通讯作者单位	数学科学研究所
第一作者的第一单位	数学科学研究所
推荐引用方式 GB/T 7714	Skodlerack, Daniel. SEMISIMPLE CHARACTERS FOR INNER FORMS II: QUATERNIONIC FORMS OF p-ADIC CLASSICAL GROUPS (p ODD)[J]. REPRESENTATION THEORY,2020,24:323-359.
APA	Skodlerack, Daniel.(2020).SEMISIMPLE CHARACTERS FOR INNER FORMS II: QUATERNIONIC FORMS OF p-ADIC CLASSICAL GROUPS (p ODD).REPRESENTATION THEORY,24,323-359.
MLA	Skodlerack, Daniel."SEMISIMPLE CHARACTERS FOR INNER FORMS II: QUATERNIONIC FORMS OF p-ADIC CLASSICAL GROUPS (p ODD)".REPRESENTATION THEORY 24(2020):323-359.