THE MATRIX REPRESENTATION OF CLIFFORD ALGEBRA

Article Sidebar

PDF
Published: May 15, 2010
DOI: https://doi.org/10.14403/jcms.2010.23.2.363
Keywords:
quaternions, Clifford algebra
Mathematics Subject Classification (2020):
Primary 15A66

Main Article Content

Doohann Lee
Department of Mathematics Education, Sangmyung University,
Youngkwon Song
Department of Mathematics, Kwangwoon University,

Abstract





In this paper we construct a subalgebra L8 of M8(R) which is a generalization of the algebra of quaternions. Moreover we prove that the algebra L8 is the real Clifford algebra Cl3, and so L8 is a matrix representation of Clifford algebra Cl3.





This article was migrated from the previous system via automation. The abstract may not be written correctly. Please view the PDF file.




Article Details

Issue
Vol. 23 No. 2 (2010)
Section
Articles