4 papers
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…
Twisted q-Yangians and Sklyanin determinants
Naihuan Jing, Jian Zhang
-Yangians can be viewed both as quantum deformations of the loop algebras of upper triangular Lie algebras and deformations of the Yangian algebras. In this paper, we study the…
General Capelli-type identities
Naihuan Jing, Yinlong Liu, Jian Zhang
The classical Capelli identity is an important determinantal identity of a matrix with noncommutative entries that determines the center of the enveloping algebra of the general li…