Metricn-Lie Algebras

DOI10.1080/00927871003596198zbMath1254.17004OpenAlexW1535153217MaRDI QIDQ3084562

Zhixue Zhang, Yidong Jin, Wen-li Liu

Publication date: 25 March 2011

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927871003596198

zbMATH Keywords

invariant scalar product\(n\)-Lie algebraFilippov algebrametric algebra

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Simple, semisimple, reductive (super)algebras (17B20) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (2)

T *-extension ofn-Lie algebras ⋮ Constructions of metric \((n+1)\)-Lie algebras

Cites Work

• Plücker-type relations for orthogonal planes
• On foundation of the generalized Nambu mechanics
• Non-degenerate invariant bilinear forms on nonassociative triple systems
• QUADRATIC LIE ALGEBRAS AND COMMUTATIVE ASSOCIATIVE ALGEBRAS
• INVARIANT SYMMETRIC BILINEAR FORMS ON LIE TRIPLE SYSTEMS

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