R-MATRIX METHOD FOR HEISENBERG QUANTUM GROUPS

Citation
V. Hussin et al., R-MATRIX METHOD FOR HEISENBERG QUANTUM GROUPS, letters in mathematical physics, 31(2), 1994, pp. 159-166
Citations number
13
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
03779017
Volume
31
Issue
2
Year of publication
1994
Pages
159 - 166
Database
ISI
SICI code
0377-9017(1994)31:2<159:RMFHQG>2.0.ZU;2-5
Abstract
The R-matrix method is systematically applied to get several Heisenber g quantum groups depending on two or three parameters. It turns out th at the associated R-matrices have to verify a weaker form of the QYBE. Only for particular cases of quantum groups, we can impose R to be a solution of the QYBE. The corresponding quantum Heisenberg Lie algebra s are obtained by duality.