Isomorphism Classes and Automorphisms of Locally Complex Algebras

被引：0

作者：

Smirnov A.S. ^{[1
]}

机构：

[1] Lomonosov Moscow State University, Moscow

来源：

Journal of Mathematical Sciences | 2014年 / 199卷 / 4期

基金：

俄罗斯基础研究基金会;

关键词：

Automorphism Group; Matrix Equation; Isomorphism Class; Orthogonal Matrix; Arbitrary Dimension;

D O I：

10.1007/s10958-014-1874-3

中图分类号：

学科分类号：

摘要：

Locally complex algebras, introduced by M. Bresar, P. Šemrl, and Š. Špenko, provide a generalization of Cayley-Dickson algebras to the case of arbitrary dimensions. The paper considers the isomorphic classes of locally complex algebras and their automorphism groups. As a characterization of the isomorphism classes, a system of specific matrix equations is used. This system allows one to derive a few necessary conditions for locally complex algebras to be isomorphic. Also classifications of locally complex algebras of dimension three and of their automorphism groups are presented. Bibliography: 5 titles. © 2014 Springer Science+Business Media New York.

引用

页码：463 / 472

页数：9