Dynamical systems related to the Cremmer-Gervais R-matrix

Abstract

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

11 pages, latex, no figures