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The Structure of Quantum Group Uq(osp(1, 2, f))
Authors:Bo HOU  Zi Long ZHANG  Bing Ling CAI
Affiliation:Bo HOU,Zi Long ZHANG,Bing Ling CAI College of Mathematics and Information Science,Hebei Normal University,Hebei 050016,P.R.China
Abstract:In this paper we construct a new quantum group Uq(osp(1,2, f)), which can be seen as a generalization of Uq(oSp(1, 2)). A necessary and sufficient condition for the algebra Uq(oSp(1,2, f)) to be a super Hopf algebra is obtained and the center Z(Uq(osp(1,2, f))) is given.
Keywords:super Hopf algebra  quantum Casimir element  Verma module
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