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COCENTERS AND REPRESENTATIONS OF PRO-p HECKE ALGEBRAS
He, Xuhua1; Nie, Sian2
2017-06-23
Source PublicationREPRESENTATION THEORY
ISSN1088-4165
Volume21Pages:82-105
AbstractIn 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>.
KeywordAffine Coxeter groups Hecke algebras p-adic groups
DOI10.1090/ert/498
Language英语
Funding ProjectNSF[DMS-1463852] ; NSFC[11501547] ; NSFC[11621061] ; Key Research Program of Frontier Sciences, CAS[QYZDB-SSW-SYS007]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000404277500001
PublisherAMER MATHEMATICAL SOC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/25749
Collection数学所
Affiliation1.Univ Maryland, Dept Math, College Pk, MD 20742 USA
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
Recommended Citation
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.
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