Chem. J. Chinese Universities ›› 1992, Vol. 13 ›› Issue (8): 1122.

• Articles • Previous Articles     Next Articles

A New Technique for Evaluating the Standard Representation Matrices of Symmetric Groups

WU Wei, ZHANG Qian-Er   

  1. Department of Chemistry and Institute of Physical Chemistry, Xiamen University, Xiamen, 361005
  • Received:1992-03-23 Online:1992-08-24 Published:1992-08-24

Abstract: A new technique for evaluating the standard representation matrices of symmetric groups is presented.A representation matrix for an arbitrary irreducible representation is given as the product of three matrices,where two of them are in triangular form,and are determined by the irreducible representation group,the other is made up of the elements which equal 1,0,or -1 according to some simple rules.

Key words: Symmetric group, Standard representation, Group theory

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