On δ-Lie supertriple systems associated with (ε, δ)-Freudenthal-Kantor supertriple systems-Reference-Cited by-同舟云学术

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

Published:2000-06 Issue:2 Volume:43 Page:243-260
ISSN:0013-0915
Container-title:Proceedings of the Edinburgh Mathematical Society
language:en
Short-container-title:Proceedings of the Edinburgh Mathematical Society

Author:

Kamiya Noriaki,Okubo Susumu

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference25 articles.

1. A structure theory of Freudenthal–Kantor triple systems, II;Kamiya;Commun. Math., Univ. Sancti Pauli,1989

2. A construction of Lie algebras by triple systems

3. Triple products and Yang–Baxter equation. I. Octonionic and quaternionic triple systems

4. The Nil Radical for Lie or Anti-Lie Triple Systems

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