Twist deformations for Yangians

Details Twist deformations for Yangians Twist deformations for Yangians

2000-02-07

arxiv.org/abs/math/0002048v1

Mathematics

Quantum Algebra

8p.,Latex, to be published in the Proceedings of the SQS'99 Conference (Dubna, July 99)

Scientific paper

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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