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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Jordan gradings on exceptional simple Lie algebras


Author: Alberto Elduque
Journal: Proc. Amer. Math. Soc. 137 (2009), 4007-4017
MSC (2000): Primary 17B25
Published electronically: July 30, 2009
MathSciNet review: 2538561
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Abstract: Models of all the gradings on the exceptional simple Lie algebras induced by Jordan subgroups of their groups of automorphisms are provided.


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Additional Information

Alberto Elduque
Affiliation: Departamento de Matemáticas e Instituto Universitario de Matemáticas y Aplicaciones, Universidad de Zaragoza, 50009 Zaragoza, Spain
Email: elduque@unizar.es

DOI: http://dx.doi.org/10.1090/S0002-9939-09-09994-8
PII: S 0002-9939(09)09994-8
Keywords: Jordan grading, simple, exceptional, Lie algebra, orthogonal decomposition
Received by editor(s): October 15, 2008
Received by editor(s) in revised form: April 5, 2009
Published electronically: July 30, 2009
Additional Notes: The author was supported by the Spanish Ministerio de Educación y Ciencia and FEDER (MTM 2007-67884-C04-02) and by the Diputación General de Aragón (Grupo de Investigación de Álgebra)
Communicated by: Gail R. Letzter
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.