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 t...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.展开更多
基金supported by National Natural Science Foundation of China(Grant No.11531004)Fapesp(Grant No.2015/05927-0)Humboldt Foundation and Simons Foundation(Grant No.523868)
文摘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.
