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Ternary Hom-Nambu-Lie algebras induced by Hom-Lie algebras

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons4309

Arnlind,  Joakim
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Volltexte (frei zugänglich)

0912.0116
(Preprint), 175KB

JMPdoi=10.1063_1.pdf
(beliebiger Volltext), 135KB

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Zitation

Arnlind, J., Makhlouf, A., & Silvestrov, S. (2010). Ternary Hom-Nambu-Lie algebras induced by Hom-Lie algebras. Journal of Mathematical Physics, 51: 043515. doi:10.1063/1.3359004.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-0012-BD31-C
Zusammenfassung
The purpose of this paper is to investigate ternary multiplications constructed from a binary multiplication, linear twisting maps and a trace function. We provide a construction of ternary Hom-Nambu and Hom-Nambu-Lie algebras starting from a binary multiplication of a Hom-Lie algebra and a trace function satisfying certain compatibility conditions involving twisting maps. We show that mutual position of kernels of twisting maps and the trace play important role in this context, and provide examples of Hom-Nambu-Lie algebras obtained using this construction.