Chinese Quarterly Journal of Mathematics ›› 2014, Vol. 29 ›› Issue (3): 317-324.doi: 10.13371/j.cnki.chin.q.j.m.2014.03.001

    Next Articles

Decomposition for Complex Clifford Algebra of Even Dimension

  

  1. School of Mathematics and Statistics, Central South University
  • Received:2013-09-05 Online:2014-09-30 Published:2020-11-30
  • About author:HE Fu-li(1981-), male, native of Hengyang, Hunan, Ph.D., engages in complex analysis and hyper-complex analysis.
  • Supported by:
    Supported by the NNSF of China(11371375,1171375); Supported by the Postdoctoral Science Foundation of Central South University;

Abstract: In this paper we consider several fundamental operators in complex Clifford algebra and show the close relationship of these operators. We also discuss a representation of the Lie algebra sl(2; C) and get several decompositions for Clifford algebra of even dimension under the action of these fundamental operators. 

Key words: complex Clifford algebra, decomposition, representation

CLC Number: