41 citations · 96 across the 16 of their papers we have counts for
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Families of irreducible singular Gelfand-Tsetlin modules of
Carlos Alexandre Gomes, Luis Enrique Ramirez
We prove a conjecture for the irreducibility of singular Gelfand-Tsetlin modules. We describe explicitly the irreducible subquotients of certain classes of singular Gelfand-Tsetlin…
Combinatorial construction of Gelfand-Tsetlin modules for
Vyacheslav Futorny, Luis Enrique Ramirez, Jian Zhang
We propose a new effective method of constructing explicitly Gelfand -Tsetlin modules for . We obtain a large family of simple modules that have a basis consisting…
New singular Gelfand-Tsetlin -modules of index 2
Vyacheslav Futorny, Dimitar Grantcharov, Luis Enrique Ramirez
Singular Gelfand-Tsetlin modules of index 2 are modules whose tableaux bases may have singular pairs but no singular triples of entries on each row. In this paper we construct sing…
Weight representations of admissible affine vertex algebras
Tomoyuki Arakawa, Vyacheslav Futorny, Luis Enrique Ramirez
For an admissible affine vertex algebra of type , we describe a new family of relaxed highest weight representations of . They are simple…