The Structure of Quantum Group ${\cal U}_q(\osp(1,2,f))$ |
Received:April 14, 2009 Revised:May 04, 2010 |
Key Words:
super Hopf algebra quantum Casimir element Verma module.
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Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.10971049; 10971052) and the Natural Science Foundation of Hebei Province (Grant Nos.A2008000135; A2009000253). |
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Abstract: |
In this paper we construct a new quantum group ${\cal U}_q(\osp(1,2,f))$, which can be seen as a generalization of ${\cal U}_q(\osp(1,2))$. A necessary and sufficient condition for the algebra ${\cal U}_q(\osp(1,2,f))$ to be a super Hopf algebra is obtained and the center $Z({\cal U}_q(\osp(1,2,f)))$ is given. |
Citation: |
DOI:10.3770/j.issn:1000-341X.2011.03.009 |
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