3 papers
math.RT2026
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…
math.RT2026
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.
math.RT2025
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…