41 citations · 96 across the 16 of their papers we have counts for
16 papers
Simple subquotients of relation modules
Gustavo Costa, Lucas Queiroz Pinto, Luis Enrique Ramirez
In this paper we provide an explicit tableaux realization for all simple subquotients of a relation Gelfand-Tsetlin -module.
Highest weight modules with respect to non-standard Gelfand-Tsetlin subalgebras
Juan Camilo Arias, Oscar Morales, Luis Enrique Ramirez
In this paper we study realizations of highest weight modules for the complex Lie algebra with respect to non-standard Gelfand-Tsetlin subalgebras. We also provid…
Explicit realization of bounded modules for symplectic Lie algebras: spinor versus oscillator
Vyacheslav Futorny, Dimitar Grantcharov, Luis Enrique Ramirez +1
We provide an explicit combinatorial realization of all simple and injective (hence, and projective) modules in the category of bounded -modules. This realizatio…
Simple modules for Affine vertex algebras in the minimal nilpotent orbit
Vyacheslav Futorny, Oscar Armando Hernandez Morales, Luis Enrique Ramirez
We explicitly construct, in terms of Gelfand--Tsetlin tableaux, a new family of simple positive energy representations for the simple affine vertex algebra V_k(sl_{n+1}) in the min…
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…