41 citations · 96 across the 16 of their papers we have counts for
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Bounds of Gelfand-Tsetlin multiplicities and tableaux realizations of Verma modules
Vyacheslav Futorny, Dimitar Grantcharov, Luis Enrique Ramirez +1
We introduce the notion of essential support of a simple Gelfand-Tsetlin -module as an important tool towards understanding the character formula of such module. T…
Classification of irreducible Gelfand-Tsetlin modules of sl(3)
Vyacheslav Futorny, Dimitar Grantcharov, Luis Enrique Ramirez
We provide a classification and an explicit realization of all irreducible Gelfand-Tsetlin modules of the complex Lie algebra sl(3). The realization of these modules uses regular a…
Relation modules for finite W-algebras and tensor products of highest weight evaluation modules for Yangians of type A
Vyacheslav Futorny, Luis Enrique Ramirez, Jian Zhang
We construct explicitly a large family of Gelfand-Tsetlin modules for an arbitrary finite W-algebra of type A and establish their irreducibility. A basis of these modules is formed…