Central elements of the degenerate quantum general linear group
Quantum Algebra
2025-10-08 v2
Abstract
We construct central elements of the degenerate quantum general linear group introduced by Cheng, Wang and Zhang. In particular, we give an explicit formula for the quantum Casimir element. Our method is based on the explicit operators. Moreover, we construct a universal operator, which is a spectral parameter-dependent solution of the quantum Yang-Baxter equation in the tensor product of the degenerate quantum general linear group and the endomorphism ring of its natural representation. This construction leads to the FRT approach to the degenerate quantum general linear group.
Cite
@article{arxiv.2404.19239,
title = {Central elements of the degenerate quantum general linear group},
author = {Hengyun Yang and Yang Zhang},
journal= {arXiv preprint arXiv:2404.19239},
year = {2025}
}
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24 pages