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].

引用

页码：139 / 181

页数：43

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