Yangian, Truncated Yangian and Quantum Integrable Systems

Physics – Condensed Matter

Scientific paper

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Preprint ( reprint ) of Nankai Institute of Mathematics. For hard copy, write to Prof. Mo-lin GE, Nankai Institute of Mathemat

Scientific paper

Based on the RTT relation for a given rational $R$-matrix the {\em Yangian}
and truncated {\em Yangian} are discussed. The former can be used to generate
the long-range interaction models, whereas the latter can be related to the
Goryachev-Chaplygin(GC) gyrostat. The trigonometric extension of the
Goryachev-Chaplygin gyrostat has also been shown.

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