[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2010.23.2.363

THE MATRIX REPRESENTATION OF CLIFFORD ALGEBRA

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

Publication Information

Journal of the Chungcheong Mathematical Society / v.23, no.2, 2010 , pp. 363-368 More about this Journal

Abstract

In this paper we construct a subalgebra $L_8$ of $M_8({\mathbb{R}})$ which is a generalization of the algebra of quaternions. Moreover we prove that the algebra $L_8$ is the real Clifford algebra $Cl_3$ , and so $L_8$ is a matrix representation of Clifford algebra $Cl_3$ .

Keywords

quaternions; Clifford algebra;

Citations & Related Records

Reference

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4	Ian Porteous, Clifford Algebras and the Classical Groups, Cambridge University Press, 1995.