P-alcoves, parabolic subalgebras and cocenters of affine Hecke algebras

doi:10.1007/s00029-014-0170-x

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	P-alcoves, parabolic subalgebras and cocenters of affine Hecke algebras
	He, Xuhua 1; Nie, Sian2
	2015-07-01
发表期刊	SELECTA MATHEMATICA-NEW SERIES
ISSN	1022-1824
卷号	21 期号:3 页码:995-1019
摘要	The cocenter of an affine Hecke algebra plays an important role in the study of representations of the affine Hecke algebra and the geometry of affine Deligne-Lusztig varieties (see for example, He and Nie in Compos Math 150(11):1903-1927, 2014; He in Ann Math 179:367-404, 2014; Ciubotaru and He in Cocenter and representations of affine Hecke algebras, 2014). In this paper, we give a Bernstein-Lusztig type presentation of the cocenter. We also obtain a comparison theorem between the class polynomials of the affine Hecke algebra and those of its parabolic subalgebras, which is an algebraic analog of the Hodge-Newton decomposition theorem for affine Deligne-Lusztig varieties. As a consequence, we present a new proof of the emptiness pattern of affine Deligne-Lusztig varieties (Gortz et al. in Compos Math 146(5):1339-1382, 2010; Gortz et al. in Ann Sci Acole Norm Sup, 2012).
关键词	Affine Hecke algebras Cocenters Parabolic subalgebras
DOI	10.1007/s00029-014-0170-x
语种	英语
资助项目	HKRGC[602011]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000357494400006
出版者	SPRINGER BASEL AG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20318
专题	数学所
通讯作者	He, Xuhua
作者单位	1.Hong Kong Univ Sci & Technol, Inst Adv Study, Dept Math, Clear Water Bay, Kowloon, Hong Kong, Peoples R China 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. P-alcoves, parabolic subalgebras and cocenters of affine Hecke algebras[J]. SELECTA MATHEMATICA-NEW SERIES,2015,21(3):995-1019.
APA	He, Xuhua,&Nie, Sian.(2015).P-alcoves, parabolic subalgebras and cocenters of affine Hecke algebras.SELECTA MATHEMATICA-NEW SERIES,21(3),995-1019.
MLA	He, Xuhua,et al."P-alcoves, parabolic subalgebras and cocenters of affine Hecke algebras".SELECTA MATHEMATICA-NEW SERIES 21.3(2015):995-1019.