Quantum supergroup Ur,s(osp(1,2)), Scasimir operators and Dickson polynomials

Abstract

We study the center of two-parameter quantum supergroup [Formula: see text] using the Dickson polynomial. We show that the Scasimir operator is completely determined by the [Formula: see text]-deformed Chebychev polynomial, generalizing an earlier work of Arnaudon and Bauer.