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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…
Generalized Imaginary Verma and Wakimoto modules
Marcela Guerrini, Iryna Kashuba, Oscar Morales +2
We develop a general technique of constructing new irreducible weight modules for any affine Kac-Moody algebra using the parabolic induction, in the case when the Levi factor of a…
Admissible representations of simple affine vertex algebras
Vyacheslav Futorny, Oscar Armando Hernández Morales, Libor Křižka
We provide an explicit combinatorial description of highest weights of simple highest weight modules over the simple affine vertex algebra of type A of admissible level k. For admi…
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…