DEFORMATION QUANTIZATION OF THE HEISENBERG-GROUP

被引:12
作者
BONECHI, F
GIARCHETTI, R
SORACE, E
TARLINI, M
机构
[1] IST NAZL FIS NUCL, I-50125 FLORENCE, ITALY
[2] UNIV BOLOGNA, DIPARTMENTO MATEMAT, BOLOGNA, ITALY
关键词
D O I
10.1007/BF02099315
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A *-product compatible with the comultiplication of the Hopf algebra of the functions on the Heisenberg group is determined by deforming a coboundary Lie-Poisson structure defined by a classical r-matrix satisfying the modified Yang-Baxter equation. The corresponding quantum group is studied and its R-matrix is explicitly calculated.
引用
收藏
页码:627 / 633
页数:7
相关论文
共 11 条
[1]   STAR-PRODUCTS AND REPRESENTATIONS OF NILPOTENT GROUPS [J].
ARNAL, D .
PACIFIC JOURNAL OF MATHEMATICS, 1984, 114 (02) :285-308
[2]   DEFORMATION THEORY AND QUANTIZATION .1. DEFORMATIONS OF SYMPLECTIC STRUCTURES [J].
BAYEN, F ;
FLATO, M ;
FRONSDAL, C ;
LICHNEROWICZ, A ;
STERNHEIMER, D .
ANNALS OF PHYSICS, 1978, 111 (01) :61-110
[3]  
BAYEN F, 1978, ANN PHYS, V111
[4]   THE QUANTUM HEISENBERG-GROUP H(1)Q [J].
CELEGHINI, E ;
GIACHETTI, R ;
SORACE, E ;
TARLINI, M .
JOURNAL OF MATHEMATICAL PHYSICS, 1991, 32 (05) :1155-1158
[5]  
CELEGHINI E, 1992, LECT NOTES MATH, V1510, P221
[6]  
Drinfeld V.G., 1983, SOVIET MATH DOKL, V28, P667
[7]   A ASTERISK-PRODUCT ON SL(2) AND THE CORRESPONDING NONSTANDARD QUANTUM-U(SL(2)) [J].
OHN, C .
LETTERS IN MATHEMATICAL PHYSICS, 1992, 25 (02) :85-88
[9]   DEFORMATION QUANTIZATION OF HEISENBERG MANIFOLDS [J].
RIEFFEL, MA .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 122 (04) :531-562
[10]  
Takhtajan LA, 1990, INTRO QUANTUM GROUPS, P69