COCENTERS AND REPRESENTATIONS OF PRO-p HECKE ALGEBRAS

doi:10.1090/ert/498

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	COCENTERS AND REPRESENTATIONS OF PRO-p HECKE ALGEBRAS
	He, Xuhua 1; Nie, Sian2
	2017-06-23
发表期刊	REPRESENTATION THEORY
ISSN	1088-4165
卷号	21 页码:82-105
摘要	In this paper, we study the relation between the cocenter (H) over tilde )over bar> and the representations of an affine pro-p Hecke algebra (H) over tilde = (H) over tilde (0,-). As a consequence, we obtain a new criterion on supersingular representations: a (virtual) representation of (H) over tilde is supersingular if and only if its character vanishes on the non-supersingular part of the cocenter ((H) over tilde )over bar>.
关键词	Affine Coxeter groups Hecke algebras p-adic groups
DOI	10.1090/ert/498
语种	英语
资助项目	NSF[DMS-1463852] ; NSFC[11501547] ; NSFC[11621061] ; Key Research Program of Frontier Sciences, CAS[QYZDB-SSW-SYS007]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000404277500001
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25749
专题	数学所
通讯作者	He, Xuhua
作者单位	1.Univ Maryland, Dept Math, College Pk, MD 20742 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	He, Xuhua,Nie, Sian. COCENTERS AND REPRESENTATIONS OF PRO-p HECKE ALGEBRAS[J]. REPRESENTATION THEORY,2017,21:82-105.
APA	He, Xuhua,&Nie, Sian.(2017).COCENTERS AND REPRESENTATIONS OF PRO-p HECKE ALGEBRAS.REPRESENTATION THEORY,21,82-105.
MLA	He, Xuhua,et al."COCENTERS AND REPRESENTATIONS OF PRO-p HECKE ALGEBRAS".REPRESENTATION THEORY 21(2017):82-105.