Quantum (1+1) extended Galilei algebras: from Lie bialgebras to quantum R-matrices and integrable systems

Authors
Ballesteros, A Celeghini, E Herranz, FJ
Citation
A. Ballesteros et al., Quantum (1+1) extended Galilei algebras: from Lie bialgebras to quantum R-matrices and integrable systems, J PHYS A, 33(17), 2000, pp. 3431-3444
Citations number
28
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
17
Year of publication
2000
Pages
3431 - 3444
Database
ISI
SICI code
0305-4470(20000505)33:17<3431:Q(EGAF>2.0.ZU;2-W
Abstract
The Lie bialgebras of the (1 + 1) extended Galilei algebra are obtained and classified into four multiparametric families. Their quantum deformations are obtained, together with the corresponding deformed Casimir operators. F or the coboundary cases quantum universal R-matrices are also given. Applic ations of the quantum extended Galilei algebras to classical integrable sys tems are explicitly developed.