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

页码：2887 / 2893

页数：7

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