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 SLq(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.
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