9 citations · 38 across the 22 of their papers we have counts for
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Irreducibility of the tensor product of Yangian \( \mathrm{Y}(\mathfrak{gl}_{m|n}) \) evaluation modules
Vyacheslav Futorny, Zheng Li, Jian Zhang
The evaluation homomorphism from the super Yangian \( \mathrm{Y}(\mathfrak{gl}_{m|n}) \) to \( \mathrm{U}(\mathfrak{gl}_{m|n}) \) induces a \( \mathrm{Y}(\mathfrak{gl}_{m|n}) \)-mo…
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…
Explicit construction of irreducible modules for U_q(gl_n)
Vyacheslav Futorny, Luis Enrique Ramirez, Jian Zhang
We construct new families of U_q(gl_n)-modules by continuation from finite dimensional representations. Each such module is associated with a combinatorial object - admissible set…
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…
Irreducible subquotients of generic gelfand-tsetlin modules over uq(gl(n))
Vyacheslav Futorny, Enrique Ramirez, Jian Zhang
We provide a classification and explicit bases of tableaux of all irreducible subquotients of generic Gelfand-Tsetlin modules over Uq(gl(n)) where q different 1 and -1.