English

Dynamical systems related to the Cremmer-Gervais R-matrix

q-alg 2007-05-23 v1 High Energy Physics - Theory Quantum Algebra

Abstract

The generalized Cremmer-Gervais R-matrix being a twist of the standard R-matrix of SLq(3)SL_q(3), depends on two extra parameters. Properties of this R-matrix are discussed and two dynamical systems, the quantum group covariant qq-oscillator and an integrable spin chain with a non-hermitian Hamiltonian, are constructed.

Keywords

Cite

@article{arxiv.q-alg/9712016,
  title  = {Dynamical systems related to the Cremmer-Gervais R-matrix},
  author = {M. Chaichian and P. Kulish and E. V. Damaskinsky},
  journal= {arXiv preprint arXiv:q-alg/9712016},
  year   = {2007}
}

Comments

11 pages, latex, no figures