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arXiv · 1712.05600

Capelli identity on multiparameter quantum linear groups

Naihuan Jing·Jian Zhang
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Abstract

A quantum Capelli identity is given on the multiparameter quantum general linear group based on the $(p_{ij}, u)$-condition. The multiparameter quantum Pfaffian of the $(p_{ij}, u)$-quantum group is also introduced and the transformation under the congruent action is given. Generalization to the multiparameter hyper-Pfaffian and relationship with the quantum minors are also investigated.

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BibTeXRIS

Naihuan Jing, Jian Zhang. 2017-12-15. Capelli identity on multiparameter quantum linear groups. https://doi.org/10.1007/s11425-017-9216-x

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