5 citations · 7 across the 3 of their papers we have counts for
6 papers
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…
Generalized Verma modules over U_q(sl_n(C))
Vyacheslav Futorny, Libor Krizka, Jian Zhang
We construct realizations of quantum generalized Verma modules for U_q(sl_n(C)) by quan- tum differential operators. Taking the classical limit q ! 1 provides a realization of clas…
Capelli identity on multiparameter quantum linear groups
Naihuan Jing, Jian Zhang
A quantum Capelli identity is given on the multiparameter quantum general linear group based on the -condition. The multiparameter quantum Pfaffian of the $(p_{ij}, u)…
Gelfand-Tsetlin modules of quantum gl_n$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…
Multiparameter quantum Pfaffians
Naihuan Jing, Jian Zhang
The multiparameter quantum Pfaffian of the -quantum group is introduced and studied together with the quantum determinant, and an identity relating the two invariants is gi…