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

共 50 条

[1] Lie bialgebra structures on derivation Lie algebra over quantum tori
Tang, Xiaomin
Liu, Lijuan
Xu, Jinli
FRONTIERS OF MATHEMATICS IN CHINA, 2017, 12 (04) : 949 - 965
[2] Lie bialgebra structures on derivation Lie algebra over quantum tori
Xiaomin Tang
Lijuan Liu
Jinli Xu
Frontiers of Mathematics in China, 2017, 12 : 949 - 965
[3] Classification of quantum groups and Lie bialgebra structures on sl(n, F). Relations with Brauer group
Stolin, Alexander
Pop, Iulia
ADVANCES IN MATHEMATICS, 2016, 293 : 324 - 342
[4] Two extensions of the e(2) Lie bialgebra
Juszczak, C
CZECHOSLOVAK JOURNAL OF PHYSICS, 2000, 50 (11) : 1271 - 1278
[5] Lie Bialgebra Structures on Lie Algebras of Block Type
Cheng, Yongsheng
Song, Guang'ai
Xin, Bin
ALGEBRA COLLOQUIUM, 2009, 16 (04) : 677 - 690
[6] Existence of triangular Lie bialgebra structures
Feldvoss, J
JOURNAL OF PURE AND APPLIED ALGEBRA, 1999, 134 (01) : 1 - 14
[7] Lie Bialgebra Structures on the Lie Algebra £ Related to the Virasoro Algebra
Chen, Xue
Su, Yihong
Zheng, Jia
SYMMETRY-BASEL, 2023, 15 (01):
[8] Lie bialgebra structures on Lie algebras of generalized Weyl type
Yue, Xiaoqing
Su, Yucai
COMMUNICATIONS IN ALGEBRA, 2008, 36 (04) : 1537 - 1549
[9] Dual Lie bialgebra structures of Poisson types
SONG Guang'Ai
SU YuCai
Science China(Mathematics), 2015, 58 (06) : 1151 - 1162
[10] Lie bialgebra structures on the Schrodinger-Virasoro Lie algebra
Han, Jianzhi
Li, Junbo
Su, Yucai
JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (08)

← 1 2 3 4 5 →