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Chinese Physics C> 2007, Vol. 31> Issue(12) : 1099-1101 

Compute the Real Orthogonal Form of [n—1,1] Representation of Sn Group in a Special Representation Space

  •  School of Science, Xi'an Jiaotong University, Xi'an 710049, China

  • We show how to obtain the real orthogonal form of [n—1, 1] representation of Sn group by using a trick, representing Sn group in a special representation space. At last, we exemplify one of the applications of the trick.
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    [1] . MA Zhong-Qi. Group Theory in Physics. Beijing: SciencePress, 2006. 203-243 (in Chinese)(马中骥. 物理学中的群论. 北京: 科学出版社, 2006. 203-243)2. HAN Qi-Zhi, SUN Hong-Zhou. Group Theory. Beijing:Peiking University Publishers, 1987. 56-62(in Chinese)(韩其智, 孙洪洲. 群论. 北京: 北京大学出版社, 1987. 56-62)3. CHEN Jin-Quan, GAO Mei-Juan. Reduced Coeffcients of Permutation Groups and Their Application. Beijing: Sci-ence Press, 1981. 1-5 (in Chinese)(陈金全, 高美娟. 置换群约化系数及其应用. 北京: 科学出版社, 1981. 1-5)4. CHEN Jin-Quan. New Approach to Group Representation Theory. Shanghai: Shanghai Scienti c and Technique Publishers, 1984. 101-133(in Chinese)(陈金全. 群表示论的新途径. 上海: 上海科技出版社, 1984. 101-133)

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LIU Da-Qing. Compute the Real Orthogonal Form of [n—1,1] Representation of Sn Group in a Special Representation Space[J]. Chinese Physics C, 2007, 31(12): 1099-1101.
LIU Da-Qing. Compute the Real Orthogonal Form of [n—1,1] Representation of Sn Group in a Special Representation Space[J]. Chinese Physics C, 2007, 31(12): 1099-1101. shu
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Received: 2007-02-05
Revised: 2007-04-05
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Compute the Real Orthogonal Form of [n—1,1] Representation of Sn Group in a Special Representation Space

    Corresponding author: LIU Da-Qing,
  • School of Science, Xi'an Jiaotong University, Xi'an 710049, China
  • Received Date: 2007-02-05
  • Accepted Date: 2007-04-05
  • Available Online: 2007-12-05

Abstract: We show how to obtain the real orthogonal form of [n—1, 1] representation of Sn group by using a trick, representing Sn group in a special representation space. At last, we exemplify one of the applications of the trick.

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