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arXiv · 0711.0552

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

V. Futorny·A. Molev·S. Ovsienko
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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.

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V. Futorny, A. Molev, S. Ovsienko. 2007-11-04. Gelfand-Tsetlin bases for representations of finite W-algebras and shifted Yangians. https://arxiv.org/abs/0711.0552

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