Gelfand-Tsetlin bases for representations of finite W-algebras and shifted Yangians

Details Gelfand-Tsetlin bases for representations of finite W-algebras and shifted Yangians Gelfand-Tsetlin bases for representations of finite W-algebras and shifted Yangians

2007-11-04

arxiv.org/abs/0711.0552v1

in "Lie theory and its applications in physics VII", (H.-D. Doebner and V.K. Dobrev, Eds), Proceedings of the VII Internationa

Mathematics

Representation Theory

13 pages, contribution to the proceedings of the conference "Lie Theory and its Applications in Physics", Varna 2007

Scientific paper

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.

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