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On compact realifications of exceptional simple Kantor triple systems

Mondoc, Daniel LU (2007) In Journal of Generalized Lie Theory and Applications 1(1). p.29-40
Abstract
Let A be the realification of the matrix algebra determined by Jordan algebra of hermitian

matrices of order three over a complex composition algebra. We define an involutive

automorphism on A with a certain action on the triple system obtained from A which give

models of simple compact Kantor triple systems. In addition, we give an explicit formula

for the canonical trace form and the classification for these triples and their corresponding

exceptional real simple Lie algebras. Moreover, we present all realifications of complex exceptional

simple Lie algebras as Kantor algebras for a compact simple Kantor triple system

defined on a structurable algebra of skew-dimension one.
Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
subject
keywords
graded Lie algebras, structurable algebras, triple systems
in
Journal of Generalized Lie Theory and Applications
volume
1
issue
1
pages
29 - 40
publisher
Ashdin Publishing
external identifiers
  • scopus:33751394208
ISSN
1736-5279
language
English
LU publication?
no
id
f414feb2-d2ff-42c3-9fa7-e1d21caf0c3a (old id 1670167)
alternative location
http://www.ashdin.com/journals/jglta/2007/1/issue1.aspx
date added to LUP
2010-09-17 13:49:25
date last changed
2017-02-19 03:38:21
@article{f414feb2-d2ff-42c3-9fa7-e1d21caf0c3a,
  abstract     = {Let A be the realification of the matrix algebra determined by Jordan algebra of hermitian<br/><br>
matrices of order three over a complex composition algebra. We define an involutive<br/><br>
automorphism on A with a certain action on the triple system obtained from A which give<br/><br>
models of simple compact Kantor triple systems. In addition, we give an explicit formula<br/><br>
for the canonical trace form and the classification for these triples and their corresponding<br/><br>
exceptional real simple Lie algebras. Moreover, we present all realifications of complex exceptional<br/><br>
simple Lie algebras as Kantor algebras for a compact simple Kantor triple system<br/><br>
defined on a structurable algebra of skew-dimension one.},
  author       = {Mondoc, Daniel},
  issn         = {1736-5279},
  keyword      = {graded Lie algebras,structurable algebras,triple systems},
  language     = {eng},
  number       = {1},
  pages        = {29--40},
  publisher    = {Ashdin Publishing},
  series       = {Journal of Generalized Lie Theory and Applications},
  title        = {On compact realifications of exceptional simple Kantor triple systems},
  volume       = {1},
  year         = {2007},
}