Sedenions: algebra and analysis

被引：55

作者：

Imaeda, K ^{[1
]}

Imaeda, M ^{[1
]}

机构：

[1] IFUP, Laguna Niguel, CA 92677 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2000年 / 115卷 / 2-3期

关键词：

Cayley-Dickson algebra; sedenions; monogenicity; quaternions octonions;

D O I：

10.1016/S0096-3003(99)00140-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A 16-dimensional Cayley-Dickson algebra is presented. Its unique algebraic properties, its zero-divisors, and the solutions to a general linear equation are found. A theory of function is developed in terms of the regularity (monogenicity) conditions and some such Functions are constructed. (C) 2000 Elsevier Science Inc. All rights reserved.

引用

页码：77 / 88

页数：12

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