| Representation of Spin Group Spin（p, q） |
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| 引用本文： | WANG Na WU Ke ZHANG Bo. Representation of Spin Group Spin（p, q）[J]. 理论物理通讯, 2007, 48(3): 415-424 |
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| 作者姓名： | WANG Na WU Ke ZHANG Bo |
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| 作者单位： | [1]School of Mathematical Science, Capital Normal University~ Beijing 100037, China [2]Key Laboratory of Mathematics Mechanization, the Chinese Academy of Sciences, Beijing 100080, China |
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| 基金项目： | The project partially supported by National Key Basic Research Program of China under Grant No. 2004CB318000 and National natural Science Foundation of China under Grant Nos. 10375038 and 90403018. The authors would like to express their thanks to Moningside Center, CAS, part of the work was done when we were joining the Workshop on Mathematical Physics there |
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| 摘 要： | The representation η（P, q） of spin group Spin（p, q） in any dimensional space is given by induction, and the relation between two representations, which are obtained in two kinds of inductions from Spin（p, q） to Spin（p ＋ 1, q ＋ 1） are studied.
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| 关 键 词： | 自旋群 群表征 多维空间 诱导 |
| 收稿时间： | 2006-12-28 |
Representation of Spin Group Spin(p,q) |
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| WANG Na,WU Ke,ZHANG Bo. Representation of Spin Group Spin(p,q)[J]. Communications in Theoretical Physics, 2007, 48(3): 415-424 |
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| Authors: | WANG Na WU Ke ZHANG Bo |
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| Affiliation: | 1. School of Mathematical Science, Capital NormalUniversity, Beijing 100037, China};2. Key Laboratory of Mathematics Mechanization, the ChineseAcademy of Sciences, Beijing 100080, China |
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| Abstract: | The representation Y(p,q) of spin groupSpin(p,q) in any dimensional space is given by induction, andthe relation between two representations, which are obtained in two kinds of inductions from Spin(p,q) to Spin(p+1,q+1) are studied. |
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| Keywords: | spin group group representation |
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