Gelfand-Tsetlin bases for representations of finite W-algebras and shifted Yangians
arXiv:0711.0552
Abstract
Remarkable subalgebras of the Yangian for gl_n called the shifted Yangians were introduced in a recent work by Brundan and Kleshchev in relation to their study of finite W-algebras. In particular, in that work a classification of finite-dimensional irreducible representations of the shifted Yangians and the associated finite W-algebras was given. We construct a class of these representations in an explicit form via bases of Gelfand-Tsetlin type.
13 pages, contribution to the proceedings of the conference "Lie Theory and its Applications in Physics", Varna 2007