Similarity and consimilarity of elements in the real Cayley-Dickson algebras

被引：7

作者：

Yongge Tian

机构：

[1] Concordia University,Department of Mathematics and Statistics

来源：

Advances in Applied Clifford Algebras | 1999年 / 9卷 / 1期

关键词：

quaternions; octonions; sedenions; equation; similarity; consimilarity; square root; 17A05; 17A35;

D O I：

10.1007/BF03041938

中图分类号：

学科分类号：

摘要：

The similarity and consimilarity of elements in the real quaternion, octonion and sedenion algebras, as well as in the general real Cayley-Dickson algebras are considered by solving the two fundamental equationsax=xb and\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$ax = \bar xb$$ \end{document} in these algebras. Some consequences are also presented.

引用

页码：61 / 76

页数：15

共 14 条

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