1 citations · 1 across the 2 of their papers we have counts for
4 papers · 1 filter
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…
Gelfand-Tsetlin modules of quantum gl_n$defined by admissible sets of relations
Vyacheslav Futorny, Luis Enrique Ramirez, Jian Zhang
The purpose of this paper is to construct new families of irreducible Gelfand-Tsetlin modules for U_q(gl_n). These modules have arbitrary singularity and Gelfand-Tsetlin multiplici…