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math.RT2007★ 9 cited
Gelfand-Tsetlin bases for representations of finite W-algebras and shifted Yangians
V. Futorny, A. Molev, 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…
math.RT2007
Differential equations in vertex algebras and simple modules for the Lie algebra of vector fields on a torus
Yuly Billig, Alexander Molev, Ruibin Zhang
We study irreducible representations for the Lie algebra of vector fields on a 2-dimensional torus constructed using the generalized Verma modules. We show that for a certain choic…