DYNAMIC-SYSTEMS RELATED TO THE CREMMER-GERVAIS R-MATRIX

Authors
DAMASKINSKII EV KULISH PP CHAICHIAN M
Citation
Ev. Damaskinskii et al., DYNAMIC-SYSTEMS RELATED TO THE CREMMER-GERVAIS R-MATRIX, Theoretical and mathematical physics, 116(1), 1998, pp. 820-828
Citations number
36
Categorie Soggetti
Physycs, Mathematical",Physics,"Physycs, Mathematical
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
116
Issue
1
Year of publication
1998
Pages
820 - 828
Database
ISI
SICI code
0040-5779(1998)116:1<820:DRTTCR>2.0.ZU;2-R
Abstract
The generalized Cremmer-Gervais R-matrix, which is a twist of the stan dard sl(q)(3) R-matrix, depends on two additional parameters. We discu ss the properties of this R-matrix and construct two associated dynami c systems: the q-oscillator that is covariant with respect to the corr esponding quantum group and an integrable spin chain with a non-Hermit ian Hamiltonian.