Howe duality and the quantum general linear group

被引:18
作者
Zhang, RB [1 ]
机构
[1] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia
关键词
D O I
10.1090/S0002-9939-02-06892-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A Howe duality is established for a pair of quantized enveloping algebras of general linear algebras. It is also shown that this quantum Howe duality implies Jimbo's duality between U-q( gl(n)) and the Hecke algebra.
引用
收藏
页码:2681 / 2692
页数:12
相关论文
共 12 条
[1]   REPRESENTATIONS OF QUANTUM ALGEBRAS [J].
ANDERSEN, HH ;
POLO, P ;
KEXIN, W .
INVENTIONES MATHEMATICAE, 1991, 104 (01) :1-59
[2]  
Chari V., 1995, A Guide to Quantum Groups
[3]  
Faddeev L. D., 1989, ALGEBR ANAL, V1, P178
[4]   Geometry of quantum homogeneous vector bundles and representation theory of quantum groups I [J].
Gover, AR ;
Zhang, RB .
REVIEWS IN MATHEMATICAL PHYSICS, 1999, 11 (05) :533-552
[5]  
HOWE R, 1992, PERSPECTIVES INVARIA
[6]  
Jimbo M., 1986, LECTURE NOTES PHYSIC, V246, P335
[7]   Q-WEYL GROUP AND A MULTIPLICATIVE FORMULA FOR UNIVERSAL R-MATRICES [J].
KIRILLOV, AN ;
RESHETIKHIN, N .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 134 (02) :421-431
[8]  
KOSTANT B, 1976, ADV MATH, V20, P257
[9]  
MATHAS A, 1999, IWAHORIHECKE ALGEBRA
[10]  
Montgomery S., 1993, CBMS REGIONAL C SERI, V82