Yangian, Truncated Yangian and Quantum Integrable Systems

Mo-lin Ge; Y. W. Wang; K. Xue

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Yangian, Truncated Yangian and Quantum Integrable Systems

Mo-lin Ge·Y. W. Wang·K. Xue

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Abstract

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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Mo-lin Ge, Y. W. Wang, K. Xue. 1995-09-14. Yangian, Truncated Yangian and Quantum Integrable Systems. https://arxiv.org/abs/cond-mat/9509081

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