Multiparametric quantum gl(2): Lie bialgebras, quantum R-matrices and non-relativistic limits

Authors
Ballesteros, A Herranz, FJ Parashar, P
Citation
A. Ballesteros et al., Multiparametric quantum gl(2): Lie bialgebras, quantum R-matrices and non-relativistic limits, J PHYS A, 32(12), 1999, pp. 2369-2385
Citations number
43
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
32
Issue
12
Year of publication
1999
Pages
2369 - 2385
Database
ISI
SICI code
0305-4470(19990326)32:12<2369:MQGLBQ>2.0.ZU;2-V
Abstract
Multiparametric quantum deformations of gl(2) are studied through a complet e classification of gl(2) Lie bialgebra structures. From these, the non-rel ativistic limit leading to harmonic oscillator Lie bialgebras is implemente d by means of a contraction procedure. New quantum deformations of gl(2), t ogether with their associated quantum R-matrices, are obtained, and other k nown quantizations are recovered and classified. Several connections with i ntegrable models are outlined.