The Structure of Quantum Group Uq(osp(1, 2, f)) |
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Authors: | Bo HOU Zi Long ZHANG Bing Ling CAI |
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Affiliation: | Bo HOU,Zi Long ZHANG,Bing Ling CAI College of Mathematics and Information Science,Hebei Normal University,Hebei 050016,P.R.China |
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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. |
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Keywords: | super Hopf algebra quantum Casimir element Verma module |
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