QUANTUM E(2) GROUPS AND LIE BIALGEBRA STRUCTURES

Authors
SOBCZYK J
Citation
J. Sobczyk, QUANTUM E(2) GROUPS AND LIE BIALGEBRA STRUCTURES, Journal of physics. A, mathematical and general, 29(11), 1996, pp. 2887-2893
Citations number
20
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
29
Issue
11
Year of publication
1996
Pages
2887 - 2893
Database
ISI
SICI code
0305-4470(1996)29:11<2887:QEGALB>2.0.ZU;2-B
Abstract
Lie bialgebra structures on e(2) are classified. For two Lie bialgebra structures which are not coboundaries (i.e. those which are not deter mined by a classical r-matrix) we solve the cocycle condition, find th e Lie-Poisson brackets and obtain quantum group relations. There is on e to one correspondence between Lie bialgebra structures on e(2) and p ossible quantum deformations of U(e(2)) and E(2).