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Classical quasi-trigonometric r-matrices of Cremmer-Gervais type and their quantization

J. Yermolova-Magnusson, M. Samsonov, A. Stolin

math.QAarXiv:math/0612484

Abstract

We propose a method of quantization of certain Lie bialgebra structures on the polynomial Lie algebras related to quasi-trigonometric solutions of the classical Yang-Baxter equation. The method is based on so-called affinization of certain seaweed algebras and their quantum analogues.

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