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arXiv · 2210.00288

Quantum Supergroup $U_{r,s}(osp(1,2))$, Scasimir Operators, and Dickson polynomials

Fu Liu·Naihong Hu·Naihuan Jing
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Abstract

We study the center of the two-parameter quantum supergroup $U_{r,s}(osp(1,2))$ using the Dickson polynomial. We show that the Scasimir operator is completely determined by the $q$-deformed Chebychev polynomial, generalizing an earlier work of Arnaudon and Bauer.

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Fu Liu, Naihong Hu, Naihuan Jing. 2022-10-01. Quantum Supergroup $U_{r,s}(osp(1,2))$, Scasimir Operators, and Dickson polynomials. https://doi.org/10.1142/s0219498824500038

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