Abstract:
The generalized Cremmer–Gervais R-matrix, which is a twist of the standard slq(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.
Citation:
E. V. Damaskinsky, P. P. Kulish, M. Chaichian, “Dynamic systems related to the Cremmer–Gervais R-matrix”, TMF, 116:1 (1998), 101–112; Theoret. and Math. Phys., 116:1 (1998), 820–828