Simple graded division algebras over the field of real numbers

Bahturin Yuri; Zaicev Mikhail

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Simple graded division algebras over the field of real numbers

机译：实数域上的简单渐变除法代数

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摘要

We classify, up to equivalence, all finite-dimensional simple graded division algebras over the field of real numbers. The grading group is any finite abelian group. (C) 2015 Elsevier Inc. All rights reserved.

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《Linear Algebra and its Applications》 |2016年第null期|共22页
作者
Bahturin Yuri; Zaicev Mikhail;
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正文语种 eng
中图分类线性代数;
关键词
Graded algebra; Simple Lie algebra; Grading; Primitive algebra; Functional identity;

机译：分级代数;简单李代数;分级;原代数;功能恒等;

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专利

1. Simple graded division algebras over the field of real numbers [J] . Bahturin Yuri, Zaicev Mikhail Linear Algebra and its Applications . 2016,第Null期

机译：实数域上的简单渐变除法代数
2. Classification of involutions on graded-division simple real algebras [J] . Bahturin Yuri, Kochetov Mikhail, Rodrigo-Escudero Adrian Linear Algebra and its Applications . 2018,第期

机译：分类分类简单实际代数的分类
3. Classification of division gradings on finite-dimensional simple real algebras [J] . Rodrigo-Escudero Adrian Linear Algebra and its Applications . 2016,第Null期

机译：有限维简单实代数上划分等级的分类
4. Constructions of Orthonormal Lattices and Quaternion Division Algebras for Totally Real Number Fields [C] . B.A. Sethuraman, Frederique Oggier Applied Algebra, Algebraic Algorithms and Error-Correcting Codes . 2007

机译：完全实数场的正交格和四元数数代数的构造
5. A survey of the classification of division algebras over fields. [D] . Ashburner, Michelle Roshan Marie. 2009

机译：场上除法代数分类的概述。
6. CLASSIFICATION OF THE REAL INFINITE SIMPLE AND REAL INFINITE PRIMITIVE LIE ALGEBRAS [O] . Steven Shnider 2016

机译：实无限简单和实无限原始李代数的分类
7. Simple Graded Division Algebras over the Field of Real Numbers [O] . Bahturin, Yuri, Zaicev, Mikhail 2015

机译：实数域上的简单渐变除代数

Simple graded division algebras over the field of real numbers

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