A Construction of Matrix Representation of Clifford Algebras

被引：7

作者：

Song, Youngkwon ^{[1
]}

Lee, Doohann ^{[2
]}

机构：

[1] Kwangwoon Univ, Dept Math, Seoul 139701, South Korea

[2] Gachon Univ, Coll Global Gen Educ, Songnam 461701, South Korea

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2015年 / 25卷 / 03期

关键词：

Clifford algebra; matrix representation;

D O I：

10.1007/s00006-014-0521-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a construction to obtain matrix algebras , which are isomorphic to the real Clifford algebras for some p and q with n = p + q. The vector generators for the matrix algebra are totally different from the vector generators of L (0),n, which is isomorphic to , constructed in [4]. Moreover, we present the invertibility of a linear combination of generators in . This can give another tool to classify the Clifford algebra in the sense of generators.

引用

页码：719 / 731

页数：13

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