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

Arnlind, Joakim; Makhlouf, Abdenacer; Silvestrov, Sergei

doi:10.1063/1.3359004

アイテム詳細

登録内容を編集ファイル形式で保存

一時保存へ追加

タグ情報を表示リリース履歴を表示詳細要約

公開

学術論文

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

MPS-Authors

/persons/resource/persons4309

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

External Resource

There are no locators available

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

フルテキスト (公開)

0912.0116
(プレプリント), 175KB

JMPdoi=10.1063_1.pdf
(全文テキスト（全般）), 135KB

付随資料 (公開)

There is no public supplementary material available

引用

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

引用: https://hdl.handle.net/11858/00-001M-0000-0012-BD31-C

要旨

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.