Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (2): 531-541.

• Articles • Previous Articles     Next Articles


 Similarity and Consimilarity of Elements in 4-dimensional Clifford Algebra

 CAO Wen-Sheng   

  1. Department of Mathematics and Physics, Wuyi University, |Guangdong Jiangmen 529020
  • Received:2008-09-11 Revised:2009-06-15 Online:2010-04-25 Published:2010-04-25
  • Supported by:

    国家自然科学基金(10801107; 10671004)、广东省自然科学基金博士科研启动基金(84529020001000043)和广东省教育厅育苗工程(LYM08097)资助.

Abstract:

It is well known that two quaternions are similar  if and only if they have the same norm and real part and they are consimilar if and only if they have the same norm. Using the real matrix representations of 4-dimensional Clifford numbers, the author obtains necessary and sufficient conditions for two elements in 4-dimensional  Clifford algebra to be similar or consimilar.

Key words: 4-dimensional Clifford algebra, Matrix representation, Similarity, Consimilarity

CLC Number: 

  • 17A05
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