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Dynamical systems related to the Cremmer-Gervais R-matrix

M. Chaichian·P. Kulish·E. V. Damaskinsky
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Abstract

The generalized Cremmer-Gervais R-matrix being a twist of the standard R-matrix of $SL_q(3)$, 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.

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M. Chaichian, P. Kulish, E. V. Damaskinsky. 1997-12-04. Dynamical systems related to the Cremmer-Gervais R-matrix. https://arxiv.org/abs/q-alg/9712016

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