Quantum Supergroup $U_{r,s}(osp(1,2))$, Scasimir Operators, and Dickson polynomials
Quantum Algebra
2022-10-04 v1
Abstract
We study the center of the two-parameter quantum supergroup using the Dickson polynomial. We show that the Scasimir operator is completely determined by the -deformed Chebychev polynomial, generalizing an earlier work of Arnaudon and Bauer.
Cite
@article{arxiv.2210.00288,
title = {Quantum Supergroup $U_{r,s}(osp(1,2))$, Scasimir Operators, and Dickson polynomials},
author = {Fu Liu and Naihong Hu and Naihuan Jing},
journal= {arXiv preprint arXiv:2210.00288},
year = {2022}
}