Yangian, Truncated Yangian and Quantum Integrable Systems
Abstract
Based on the RTT relation for a given rational R-matrix the Yangian and truncated 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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