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Quantum Super Littlewood Correspondences
Naihuan Jing, Yinlong Liu, Jian Zhang
In this paper, we study the Littlewood theory associated with the quantum super immanants and supersymmetric polynomials, including both the super case and the quantum generalizati…
Quantum super Manin matrices
Naihuan Jing, Yinlong Liu, Jian Zhang
Manin matrices are quantum linear transformations of general quantum spaces. In this paper, we study the -analogue of super Manin matrices and obtain several quantum versions of…
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…
Quantum algebra of multiparameter Manin matrices
Naihuan Jing, Yinlong Liu, Jian Zhang
Multiparametric quantum semigroups are generalization of the one-parameter general linear semigroups , where …