9 citations · 15 across the 6 of their papers we have counts for
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Gelfand-Kirillov Conjecture and Harish-Chandra Modules for Finite W-Algebras
Vyacheslav Futorny, Alexander Molev, Serge Ovsienko
We address two problems regarding the structure and representation theory of finite W-algebras associated with the general linear Lie algebras. Finite W-algebras can be defined eit…
Kostant theorem for special filtered algebras
Vyacheslav Futorny, Serge Ovsienko
A famous result of Kostant states that the universal enveloping algebra of a semisimple complex Lie algebra is a free module over its center. We prove an analogue of this result fo…
Weyl algebra modules
Viktor Bekkert, Georgia Benkart, Vyacheslav Futorny
We investigate weight modules for finite and infinite Weyl algebras, classifying all such simple modules. We also study the representation type of the blocks of locally-finite weig…