量子群U_q(osp(1,2))的中心

THE CENTER OF QUANTUM GROUP U_q(osp(1,2))

本文讨论了单李超代数osp(1,2)的量子化包络代数Uq(osp(1,2))的中心,利用Uq(osp(1,2))的表示的已知结果,证明了量子群Uq(osp(1,2))的中心的刻画,证明了该量子群的中心是由一个元素生成的多项式代数.

In this paper, the center of quantized enveloping algebra uq （osp （1, 2）） of simple Lie superalgebra osp（ 1,2） is studied. The characterization of the center of uq （osp（1,2）） is obtained by using the known conclusion of representation of uq （osp（1,2））. It is proved that the center of this quantum group is a polynomial algebra generated by one element.