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Capelli identity on multiparameter quantum linear groups

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Author(s):
Jing, Naihuan ; Zhang, Jian
Total Authors: 2
Document type: Journal article
Source: SCIENCE CHINA-MATHEMATICS; v. 61, n. 2, p. 16-pg., 2018-02-01.
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. (AU)

FAPESP's process: 15/05927-0 - Quantum determinants and categorification of quantum groups
Grantee:Jian Zhang
Support Opportunities: Scholarships in Brazil - Post-Doctoral