English

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 LL operators. Moreover, we construct a universal LL 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}
}

Comments

24 pages

R2 v1 2026-06-28T16:10:42.791Z