Abstract
The RTT relation with truncation is solved for the R-matrix associated with the six-vertex model. It turns out that the finite expansion of the global solution of the transfer matrix T(u) in terms of the spectral parameter u can be realized by the defined algebra formed by and the non-commutative coordinates. The Hamiltonian of the system has been found, which is the trigonometric deformation of the Goryachev - Chaplygin gyrostat.
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