Capelli identity on multiparameter quantum linear groups
Quantum Algebra
2018-01-30 v1
Abstract
A quantum Capelli identity is given on the multiparameter quantum general linear group based on the -condition. The multiparameter quantum Pfaffian of the -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.
Keywords
Cite
@article{arxiv.1712.05600,
title = {Capelli identity on multiparameter quantum linear groups},
author = {Naihuan Jing and Jian Zhang},
journal= {arXiv preprint arXiv:1712.05600},
year = {2018}
}
Comments
22 pages. Accepted for publication in SCIENCE CHINA Mathematics. Part of the paper (eg transformation formula for multiparameter Pfaffians) was contained in arXiv:1701.07458, which will be either withdrewn or updated