Luis Enrique Ramirez

activity

20142025

most citedIrreducible Generic Gelfand-Tsetlin Modules of

gl (n)

41 citations · 96 across the 16 of their papers we have counts for

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math.RT2024

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 $gl_{n}$ with respect to non-standard Gelfand-Tsetlin subalgebras. We also provid…

math.RT2024

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 $sp (2 n)$ -modules. This realizatio…