5 citations · 7 across the 4 of their papers we have counts for
4 papers · 1 filter
Super-immanants and Littlewood correspondences
Naihuan Jing, Yinlong Liu, Jian Zhang
In this paper, we introduce the notion of super-immanants for supermatrices over a supercommutative algebra. Using the super Schur-Weyl duality we show that the super immanants pla…
Gelfand-Tsetlin modules for gl(n,m)
Vyacheslav Futorny, Vera Serganova, Jian Zhang
We address the problem of classifying of irreducible Gelfand-Tsetlin modules for gl(m|n) and show that it reduces to the classification of Gelfand-Tsetlin modules for the even part…
Relation modules for finite W-algebras and tensor products of highest weight evaluation modules for Yangians of type A
Vyacheslav Futorny, Luis Enrique Ramirez, Jian Zhang
We construct explicitly a large family of Gelfand-Tsetlin modules for an arbitrary finite W-algebra of type A and establish their irreducibility. A basis of these modules is formed…
Gelfand-Tsetlin modules of quantum gl_n$defined by admissible sets of relations
Vyacheslav Futorny, Luis Enrique Ramirez, Jian Zhang
The purpose of this paper is to construct new families of irreducible Gelfand-Tsetlin modules for U_q(gl_n). These modules have arbitrary singularity and Gelfand-Tsetlin multiplici…