P-alcoves, parabolic subalgebras and cocenters of affine Hecke algebras
文献类型：期刊论文
| 作者 | He, Xuhua1; Nie, Sian2
|
| 刊名 | SELECTA MATHEMATICA-NEW SERIES
 |
| 出版日期 | 2015-07-01 |
| 卷号 | 21期号:3页码:995-1019 |
| 关键词 | Affine Hecke algebras Cocenters Parabolic subalgebras |
| ISSN号 | 1022-1824 |
| DOI | 10.1007/s00029-014-0170-x |
| 英文摘要 | 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). |
| 资助项目 | HKRGC[602011] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000357494400006 |
| 出版者 | SPRINGER BASEL AG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/20317]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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