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Nondegeneracy for Lie Triple Systems and Kantor Pairs

Published online by Cambridge University Press:  20 November 2018

Esther García ,
Miguel Gómez Lozano  and
Erhard Neher
Esther García
Affiliation:
Departamento de Matemática Aplicada, Universidad Rey Juan Carlos, 28933 Móstoles (Madrid), Spain e-mail: [email protected]
Miguel Gómez Lozano
Affiliation:
Departamento de Álgebra, Geometría y Topología, Universidad de Málaga, 29071 Málaga, Spain e-mail: [email protected]
Erhard Neher
Affiliation:
Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON, K1N 6N5 e-mail: [email protected]
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Abstract

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We study the transfer of nondegeneracy between Lie triple systems and their standard Lie algebra envelopes as well as between Kantor pairs, their associated Lie triple systems, and their Lie algebra envelopes. We also show that simple Kantor pairs and Lie triple systems in characteristic 0 are nondegenerate.

Keywords

17A4017B6017B99Kantor pairsLie triple systemsLie algebras
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 54 , Issue 3 , 01 September 2011 , pp. 442 - 455
Copyright
Copyright © Canadian Mathematical Society 2011

References

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