Class polynomials for some affine Hecke algebras
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- 作者：Zhongwei Yang merciyang@math.pku.edu.cn" class="auth_mail" title="E-mail the corresponding author
- 关键词：Affine Deligne&ndash ; Lusztig variety ; Affine Hecke algebra ; Affine Weyl group ; Class polynomial
- 刊名：Journal of Algebra
- 出版年：2016
- 出版时间：15 April 2016
- 年：2016
- 卷：452
- 期：Complete
- 页码：502-548
- 全文大小：646 K
文摘
Class polynomials attached to affine Hecke algebras were first introduced by He in [13]. They play an important role in the study of affine Deligne–Lusztig varieties. Motivated by [14], we compute the class polynomials attached to an affine Hecke algebra of type (twisted) 
. Using these class polynomials, we prove a conjecture of Görtz–Haines–Kottwitz–Reuman for the general linear group, unitary group, and division algebra of semisimple rank 2. Furthermore, we discuss some interesting patterns of affine Deligne–Lusztig varieties.
. Using these class polynomials, we prove a conjecture of Görtz–Haines–Kottwitz–Reuman for the general linear group, unitary group, and division algebra of semisimple rank 2. Furthermore, we discuss some interesting patterns of affine Deligne–Lusztig varieties.