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math.QA2025
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…
math.RT2025
Immanant inequalities and weight spaces
Naihuan Jing, Yinlong Liu, Jian Zhang
We first obtain a trace formula for immanants of generalized principal submatrix of any complex matrix based on any weight space for finite dimensional representations of the gener…
math.RT2025
Quantum Littlewood correspondences
Naihuan Jing, Yinlong Liu, Jian Zhang
In the 1940s Littlewood formulated three fundamental correspondences for the immanants and Schur symmetric functions on the general linear group, which establish deep connections b…