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

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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

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Representation Theory, Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/161111

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.0552
 http://arxiv.org/abs/0711.0552
 in "Lie theory and its applications in physics VII", (H.-D. Doebner and V.K. Dobrev, Eds), Proceedings of the VII International Workshop, Varna, Bulgaria, June 2007. Heron Press, Sofia, 2008, pp. 352-363.

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