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Graded Lie algebras and generalized Jordan triple systems

Published online by Cambridge University Press:  22 January 2016

Soji Kaneyuki  and
Hiroshi Asano
Soji Kaneyuki
Affiliation:
Department of Mathematics, Sophia University, Kioicho, Tokyo, 102
Hiroshi Asano
Affiliation:
Department of Mathematics, Yokohama City University, Seto, Yokohama, 236
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One frequently encounters (real) semisimple graded Lie algebras in various branches of differential geometry (e.g. [16], [9], [14], [18]). It is therefore desirable to study semisimple graded Lie algebras, including those which have been studied individually, in a unified way. One of our concerns is to classify (finite-dimensional) semisimple graded Lie algebras in a way that enables us to construct them.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 112 , December 1988 , pp. 81 - 115
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1988

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