Quantum E(2) groups and Lie bialgebra structures

被引：12
|
作者：
Sobczyk, J
机构：
[1] Max-Planck-Institut für Physik, Werner Heisenberg Institut, D-80805 Munich
[2] Institute for Theoretical Physics, Wrocław University
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1996年 / 29卷 / 11期
关键词：
D O I：
10.1088/0305-4470/29/11/022
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Lie bialgebra structures on e(2) are classified. For two Lie bialgebra structures which are not coboundaries (i.e. those which are not determined by a classical r-matrix) we solve the cocycle condition, find the Lie-Poisson brackets and obtain quantum group relations. There is one to one correspondence between Lie bialgebra structures on e(2) and possible quantum deformations of U(e(2)) and E(2).
引用
收藏
页码：2887 / 2893
页数：7
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