New rational solutions of Yang-Baxter equation and deformed Yangians |
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| Authors: | Alexander Stolin Petr P Kulish |
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| Institution: | (1) Department of Mathematics, Royal Institute of Technology, S-100 44 Stockholm, Sweden;(2) St.Petersburg Branch of Steklov Mathematical Institute, Fontanka 27, St.Petersburg, 191011, Russia |
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| Abstract: | In this paper a new class of quantum groups, deformed Yangians, is used to obtain new matrix rational solutions of the Yang-Baxter equation (YBE). The deformed Yangians arise from rational solutions of the classical Yang-Baxter equation of the form c
2/u + const. The image of the universal quantum R-matrix for the deformed Yangian in finite-dimensional representations gives these new matrix rational solutions of YBE. |
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