Semantic Scholar Open Access 2009 373 sitasi

n-Lie algebras

M. Goze Nicolas Goze Elisabeth Remm

Lihat Sumber

Abstrak

The notion of $n$-ary algebras, that is vector spaces with a multiplication concerning $n$-arguments, $n \geq 3$, became fundamental since the works of Nambu. Here we first present general notions concerning $n$-ary algebras and associative $n$-ary algebras. Then we will be interested in the notion of $n$-Lie algebras, initiated by Filippov, and which is attached to the Nambu algebras. We study the particular case of nilpotent or filiform $n$-Lie algebras to obtain a beginning of classification. This notion of $n$-Lie algebra admits a natural generalization in Strong Homotopy $n$-Lie algebras in which the Maurer Cartan calculus is well adapted.

Topik & Kata Kunci

Mathematics Physics

Penulis (3)

M. Goze

Nicolas Goze

Elisabeth Remm

Format Sitasi

APA MLA BibTeX

Goze, M., Goze, N., Remm, E. (2009). n-Lie algebras. https://www.semanticscholar.org/paper/07ff8e0991baf66943eea6ab3dd2189de0951b0c

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Informasi Jurnal

Tahun Terbit: 2009
Bahasa: en
Total Sitasi: 373×
Sumber Database: Semantic Scholar
Akses: Open Access ✓