Quantum Supergroup Ur,s(osp(1,2)), Scasimir Operators, and Dickson polynomials
Abstract
We study the center of the two-parameter quantum supergroup Ur,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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