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.
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页码：1 / 13
页数：13
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