论文标题
量子超组$ u_ {r,s}(osp(1,2))$,scasimir运算符和迪克森多项式
Quantum Supergroup $U_{r,s}(osp(1,2))$, Scasimir Operators, and Dickson polynomials
论文作者
论文摘要
我们使用Dickson多项式研究了两参数量子超级组$ u_ {r,s}(osp(1,2))$的中心。我们表明,Scasimir操作员完全由$ Q $ $ Q $的Chebychev多项式确定,从而推广了Arnaudon和Bauer的早期作品。
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.