Quantum symmetric pairs and representations of double affine Hecke algebras of type CνCn

被引：0
|
作者：
Jordan, David [1 ]
Ma, Xiaoguang [1 ]
机构：
[1] MIT, Dept Math, Cambridge, MA 02139 USA
来源：
SELECTA MATHEMATICA-NEW SERIES | 2011年 / 17卷 / 01期
关键词：
Quantum D-modules; Double affine Hecke algebras; SPHERICAL-FUNCTIONS; POLYNOMIALS; CHARACTERS; EQUATION;
D O I：
10.1007/s00029-010-0037-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We build representations of the affine and double affine braid groups and Hecke algebras of type C(nu)Cn based upon the theory of quantum symmetric pairs (U, B). In the case U = U-q(gl(N)), our constructions provide a quantization of the representations constructed by Etingof, Freund, and Ma in [15], and also a type C(nu)Cn generalization of the results in [19].
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页码：139 / 181
页数：43
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