9 citations · 9 across the 5 of their papers we have counts for
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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…
Highest weight categories of -modules
Pablo Zadunaisky
We study a category of modules over analogous to category . We fix adequate Cartan, Borel and Levi-type subalgebras a…
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…
Gelfand-Tsetlin Theory for Rational Galois Algebras
Vyacheslav Futorny, Dimitar Grantcharov, Luis Enrique Ramírez +1
In the present paper we study Gelfand-Tsetlin modules defined in terms of BGG differential operators. The structure of these modules is described with the aid of the Postnikov-Stan…
A new way to construct 1-singular Gelfand-Tsetlin modules
Pablo Zadunaisky
We present a simplified way to construct the Gelfand-Tsetlin modules over related to a -singular GT-tableau defined by Futorny, Grantcharov and Rami…