CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

Simple Decompositions of the Exceptional Jordan Algebra

  Published:2007-09-01
 Printed: Sep 2007
  • M. V. Tvalavadze
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

This paper presents some results on the simple exceptional Jordan algebra over an algebraically closed field $\Phi$ of characteristic not $2$. Namely an example of simple decomposition of $H(O_3)$ into the sum of two subalgebras of the type $H(Q_3)$ is produced, and it is shown that this decomposition is the only one possible in terms of simple subalgebras.
MSC Classifications: 17C40 show english descriptions Exceptional Jordan structures 17C40 - Exceptional Jordan structures
 

© Canadian Mathematical Society, 2014 : https://cms.math.ca/