Yong Zhang
Abstract
In this paper, the center of quantized enveloping algebra U q(osp(1,2)) of simple Lie superalgebra osp(1,2) is studied. The characterization of the center of U q(osp(1,2)) is obtained by using the known conclusion of representation of U q(osp(1,2)). It is proved that the center of this quantum group is a polynomial algebra generated by one element.
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In this paper, the center of quantized enveloping algebra U q(osp(1,2)) of simple Lie superalgebra osp(1,2) is studied. The characterization of the center of U q(osp(1,2)) is obtained by using the known conclusion of representation of U q(osp(1,2)). It is proved that the center of this quantum group is a polynomial algebra generated by one element.
Key concepts: Center (category theory), Mathematics, Lie superalgebra, Quantum group, Element (criminal law), Superalgebra, Algebra over a field, Quantum