Number Extensions and Some Equations in Clifford Algebras

被引：0

作者：

Song, Youngkwon ^{[1
]}

机构：

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

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2020年 / 43卷 / 01期

关键词：

Clifford algebra; Cayley-Dickson construction; Vector generator;

D O I：

10.1007/s40840-018-0660-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present a construction to extend number system by using the vector generators of the matrix algebra L-0,L-n(R) that is isomorphic with the Clifford algebra Cl-0,Cl-n. Moreover, we investigate the existence of solutions for some linear equations in Cl-0,Cl-3 by means of real matrix representation.

引用

页码：1 / 13

页数：13

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