Irreducible representations of Yangians

Details Irreducible representations of Yangians Irreducible representations of Yangians

2011-05-29

arxiv.org/abs/1105.5777v3

Journal of Algebra 346 (2011) 189-226

Mathematics

Representation Theory

42 pages, final version

Scientific paper

10.1016/j.jalgebra.2011.08.011

We give explicit realizations of irreducible representations of the Yangian
of the general linear Lie algebra and of its twisted analogues, corresponding
to symplectic and orthogonal Lie algebras. In particular, we develop the fusion
procedure for twisted Yangians. For the non-twisted Yangian, this procedure
goes back to the works of Cherednik.

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