A ASTERISK-PRODUCT ON SL(2) AND THE CORRESPONDING NONSTANDARD QUANTUM-U(SL(2))

被引:116
作者
OHN, C
机构
[1] Campus Plaine, Université Libre de Bruxelles, Brussels, B-1050
关键词
Mathematics Subject Classifications (1991): 16W30; 17B37; 81R50;
D O I
10.1007/BF00398304
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We obtain Zakrzewski's deformation of Fun SL(2) through the construction of a *-product on SL(2). We then give the deformation of U(sl(2)) dual to this, as well as a Poincare basis for both algebras.
引用
收藏
页码:85 / 88
页数:4
相关论文
共 5 条
[1]   DIAMOND LEMMA FOR RING THEORY [J].
BERGMAN, GM .
ADVANCES IN MATHEMATICS, 1978, 29 (02) :178-218
[2]  
DEMINOV EE, 1990, RIMS701 PREPR
[3]  
Drinfeld V.G., 1983, SOVIET MATH DOKL, V28, P667
[4]  
Faddeev L., 1990, LENINGRAD MATH J, V1, P193
[5]   A HOPF STAR-ALGEBRA OF POLYNOMIALS ON THE QUANTUM SL(2, R) FOR A UNITARY R-MATRIX [J].
ZAKRZEWSKI, S .
LETTERS IN MATHEMATICAL PHYSICS, 1991, 22 (04) :287-289