Dynamical systems related to the Cremmer-Gervais R-matrix

Details Dynamical systems related to the Cremmer-Gervais R-matrix Dynamical systems related to the Cremmer-Gervais R-matrix

1997-12-04

arxiv.org/abs/q-alg/9712016v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, latex, no figures

Scientific paper

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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