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Twist deformations for Yangians

Vladimir D. Lyakhovsky
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Abstract

It is demonstrated how chains of twists for classical Lie algebras induce the new twist deformations (the deformed Yangians) that quantize the generalized rational solutions of the classical Yang-Baxter equation. For the case of Y(g) with g=so(2N+1) the explicit expression for the corresponding R-matrix is given in the defining representation.

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Vladimir D. Lyakhovsky. 2000-02-07. Twist deformations for Yangians. https://arxiv.org/abs/math/0002048

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