Capelli identity on multiparameter quantum linear groups |
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| Authors: | Naihuan Jing Jian Zhang |
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| Affiliation: | 1.Department of Mathematics,Shanghai University,Shanghai,China;2.Department of Mathematics,North Carolina State University,Raleigh,USA;3.Institute of Mathematics and Statistics,University of Sao Paulo,Sao Paulo,Brazil |
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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 Pfaffan of the (p ij , u)-quantum group is also introduced and the transformation under the congruent action is given. Generalization to the multiparameter hyper-Pfaffan and relationship with the quantum minors are also investigated. |
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