English

Mickelsson algebras and representations of Yangians

Representation Theory 2010-04-27 v4 Quantum Algebra

Abstract

We use the theory of reductive dual pairs due to Howe to obtain explicit realizations of irreducible representations of the Yangian of the general linear Lie algebra, and of the twisted Yangians corresponding to the symplectic and orthogonal Lie algebras.

Keywords

Cite

@article{arxiv.0912.1101,
  title  = {Mickelsson algebras and representations of Yangians},
  author = {Sergey Khoroshkin and Maxim Nazarov},
  journal= {arXiv preprint arXiv:0912.1101},
  year   = {2010}
}

Comments

77 pages; Introduction structured; Subsection 4.7 added