E. V. Damaskinsky, P. P. Kulish, M. Chaichian, “Dynamic systems related to the Cremmer–Gervais <nobr>$R$</nobr>-matrix”, TMF, 1998, Volume 116, Number 1,Pages <nobr>101

This article is cited in 3 papers

Dynamic systems related to the Cremmer–Gervais $R$-matrix

E. V. Damaskinsky^a, P. P. Kulish^b, M. Chaichian^c

^a Military Technical University
^b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
^c University of Helsinki

Abstract: The generalized Cremmer–Gervais $R$-matrix, which is a twist of the standard $sl_q(3)$ $R$-matrix, depends on two additional parameters. We discuss the properties of this $R$-matrix and construct two associated dynamic systems: the $q$-oscillator that is covariant with respect to the corresponding quantum group and an integrable spin chain with a non-Hermitian Hamiltonian.

Received: 05.02.1998

DOI: 10.4213/tmf890