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

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.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0012-BD31-C Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0012-BD32-A
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 Creators:
Arnlind, Joakim1, Author           
Makhlouf, Abdenacer, Author
Silvestrov, Sergei, Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_persistent22              

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Free keywords: Mathematics, Rings and Algebras, math.RA,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP,
 Abstract: 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.

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 Dates: 2009-12-012010
 Publication Status: Issued
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 Identifiers: arXiv: 0912.0116
DOI: 10.1063/1.3359004
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Title: Journal of Mathematical Physics
Source Genre: Journal
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Publ. Info: Woodbury, N.Y. [etc.] : American Institute of Physics
Pages: - Volume / Issue: 51 Sequence Number: 043515 Start / End Page: - Identifier: Other: 954922836227
Other: 0022-2488