English

Irreducible representations of Yangians

Representation Theory 2016-02-16 v3 Quantum Algebra

Abstract

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.

Keywords

Cite

@article{arxiv.1105.5777,
  title  = {Irreducible representations of Yangians},
  author = {Sergey Khoroshkin and Maxim Nazarov and Paolo Papi},
  journal= {arXiv preprint arXiv:1105.5777},
  year   = {2016}
}

Comments

42 pages, final version