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
收藏
页码：719 / 731
页数：13
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