INHOMOGENEOUS QUANTUM GROUPS RELATED TO 2-DIMENSIONAL QUANTUM PLANES

被引:2
作者
AGHAMOHAMMADI, A
ROUHANI, S
SHARIATI, A
机构
[1] INST STUDIES THEORET PHYS & MATH,TEHRAN 19395,IRAN
[2] ALZAHRA UNIV,DEPT PHYS,TEHRAN 19834,IRAN
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 21期
关键词
D O I
10.1088/0305-4470/27/21/025
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We propose a simple and compact method for deriving quantum groups acting on Manin's q- and h-planes. Using this method, we classify all the rigid motions of the two-dimensional quantum planes. Requiring that these inhomogeneous transformations preserve differential structure of the quantum plane, we obtain two distinct inhomogeneous quantum groups for the q-plane and one previously unknown inhomogeneous quantum group for the h-plane, IGL(h,h)'(2).
引用
收藏
页码:7103 / 7113
页数:11
相关论文
共 15 条
[2]   ON THE QUANTUM DIFFERENTIAL-CALCULUS AND THE QUANTUM HOLOMORPHICITY [J].
BRZEZINSKI, T ;
DABROWSKI, H ;
REMBIELINSKI, J .
JOURNAL OF MATHEMATICAL PHYSICS, 1992, 33 (01) :19-24
[3]   R-MATRIX AND BICOVARIANT CALCULUS FOR THE INHOMOGENEOUS QUANTUM GROUPS IGLQ(N) [J].
CASTELLANI, L .
PHYSICS LETTERS B, 1993, 298 (3-4) :335-338
[4]  
DEMIDOV EE, 1990, PROG THEOR PHYS SUPP, V102, P203
[5]   THE QUANTUM GROUP OF A NONDEGENERATE BILINEAR FORM [J].
DUBOISVIOLETTE, M ;
LAUNER, G .
PHYSICS LETTERS B, 1990, 245 (02) :175-177
[6]   QUANTUM MATRICES IN 2 DIMENSIONS [J].
EWEN, H ;
OGIEVETSKY, O ;
WESS, J .
LETTERS IN MATHEMATICAL PHYSICS, 1991, 22 (04) :297-305
[7]   THE QUANTUM DE-RHAM COMPLEXES ASSOCIATED WITH SLH(2) [J].
KARIMIPOUR, V .
LETTERS IN MATHEMATICAL PHYSICS, 1994, 30 (02) :87-98
[8]   THE QUANTUM GROUP GLH(2) [J].
KUPERSHMIDT, BA .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (22) :L1239-L1244
[9]   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
[10]   QUANTUM INHOMOGENOUS GROUPS RELATED TO MANIN PLANE [J].
REMBIELINSKI, J .
PHYSICS LETTERS B, 1992, 296 (3-4) :335-340