Decomposition for Complex Clifford Algebra of Even Dimension

HE Fu-li

doi:10.13371/j.cnki.chin.q.j.m.2014.03.001

Chinese Quarterly Journal of Mathematics >

2014 , Vol. 29 >Issue 3: 317 - 324

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.03.001

Decomposition for Complex Clifford Algebra of Even Dimension

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School of Mathematics and Statistics, Central South University

HE Fu-li(1981-), male, native of Hengyang, Hunan, Ph.D., engages in complex analysis and hyper-complex analysis.

Received date: 2013-09-05

Online published: 2020-11-30

Supported by

Supported by the NNSF of China(11371375,1171375)； Supported by the Postdoctoral Science Foundation of Central South University；

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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

Cite this article

HE Fu-li . Decomposition for Complex Clifford Algebra of Even Dimension[J]. Chinese Quarterly Journal of Mathematics, 2014 , 29(3) : 317 -324 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.03.001

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