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

V. Futorny, A. Molev and S. Ovsienko


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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Thursday, November 8, 2007