62 citations · 761 across the 58 of their papers we have counts for
Showing 2007Show all
3 papers · 1 filter
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…
math.QA2007★ 17 cited
Symmetries and invariants of twisted quantum algebras and associated Poisson algebras
A. I. Molev, E. Ragoucy
We construct an action of the braid group B_N on the twisted quantized enveloping algebra U'_q(o_N) where the elements of B_N act as automorphisms. In the classical limit q -> 1 we…