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On δ-Lie supertriple systems associated with (ε, δ)-Freudenthal-Kantor supertriple systems

Published online by Cambridge University Press:  20 January 2009

Noriaki Kamiya  and
Susumu Okubo
Noriaki Kamiya
Affiliation:
Center for Mathematical Sciences, University of Aizu, Aizuwakamatsu 965-8580, Japan
Susumu Okubo
Affiliation:
Department of Physics and Astronomy, University of Rochester, Rochester, NY 14627, USA
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Abstract

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We will present an investigation of (ε, δ)-Freudenthal–Kantor supertriple systems that are intimately related to Lie supertriple systems and Lie superalgebras. We can also introduce a super analogue of Nijenhuis tensor and almost-complex structure in differential geometry.

Keywords

Freudenthal-Kantor supertriple systemLie supertriple systemLie superalgebra
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 43 , Issue 2 , June 2000 , pp. 243 - 260
Copyright
Copyright © Edinburgh Mathematical Society 2000

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