Cuspidal irreducible complex or l-modular representations of quaternionic forms of p-adic classical groups for odd p

doi:10.1007/s00605-023-01830-5

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	Cuspidal irreducible complex or l-modular representations of quaternionic forms of p-adic classical groups for odd p
	Skodlerack, Daniel
	2023-03-01
发表期刊	MONATSHEFTE FUR MATHEMATIK
ISSN	0026-9255
EISSN	1436-5081
发表状态	已发表
DOI	10.1007/s00605-023-01830-5
摘要	Given a quaternionic form G of a p-adic classical group ( p odd) we classify all cuspidal irreducible representations of G with coefficients in an algebraically closed field of characteristic different from p. We prove two theorems: At first: Every irreducible cuspidal representation ofG is induced from a cuspidal type, i.e. from a certain irreducible representation of a compact open subgroup of G, constructed from a beta-extension and a cuspidal representation of a finite group. Secondly we show that two intertwining cuspidal types of G are up to equivalence conjugate under some element of G.
关键词	Quaternionic froms of p-adic classical groups Cuspidal representations l-modular smooth representations Complex smooth representations Semisimple characters
URL	查看原文
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000960118900002
出版者	SPRINGER WIEN
文献类型	期刊论文
条目标识符	https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/296027
专题	数学科学研究所数学科学研究所_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, Shanghai 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. Cuspidal irreducible complex or l-modular representations of quaternionic forms of p-adic classical groups for odd p[J]. MONATSHEFTE FUR MATHEMATIK,2023.
APA	Skodlerack, Daniel.(2023).Cuspidal irreducible complex or l-modular representations of quaternionic forms of p-adic classical groups for odd p.MONATSHEFTE FUR MATHEMATIK.
MLA	Skodlerack, Daniel."Cuspidal irreducible complex or l-modular representations of quaternionic forms of p-adic classical groups for odd p".MONATSHEFTE FUR MATHEMATIK (2023).