New rational solutions of Yang-Baxter equation and deformed Yangians

Details New rational solutions of Yang-Baxter equation and deformed Yangians New rational solutions of Yang-Baxter equation and deformed Yangians

1996-08-14

arxiv.org/abs/q-alg/9608011v1

Mathematics

Quantum Algebra

8 pages, TeX

Scientific paper

10.1023/A:1021460515598

In this paper a class of new quantum groups is presented: deformed Yangians.
They arise from rational solutions of the classical Yang-Baxter equation of the
form $c_2 /u + const$ . The universal quantum $R$-matrix for a deformed Yangian
is described. Its image in finite-dimensional representaions of the Yangian
gives new matrix rational solutions of the Yang-Baxter equation (YBE).

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