Classification of two-dimensional Jordan algebras over R

In the paper we describe all (not necessarily commutative) Jordan algebra structures on a two-dimensional vector space over R in terms of their matrices of structure constants.

Bibliographic Details
Main Authors: Bekbaev, Ural, Rakhimov, Isamiddin, Ahmed, Houida
Format: Article
Language:English
English
Published: Universiti Putra Malaysia 2018
Subjects:
Online Access:http://irep.iium.edu.my/68552/
http://irep.iium.edu.my/68552/
http://irep.iium.edu.my/68552/1/1.%20Rakhimov%20Isamiddin.pdf
http://irep.iium.edu.my/68552/7/68552_Classification%20of%20two-Dimensional%20Jordan%20Algebras_scopus.pdf
Description
Summary:In the paper we describe all (not necessarily commutative) Jordan algebra structures on a two-dimensional vector space over R in terms of their matrices of structure constants.