The Socle of a Metricn-Lie Algebra

DOI10.1080/00927872.2010.544274zbMath1260.17006OpenAlexW2167536515MaRDI QIDQ5389028

Cheng-Ming Bai, Zhixue Zhang

Publication date: 24 April 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.544274

zbMATH Keywords

invariant scalar productsoclemetric n-Lie algebra

Mathematics Subject Classification ID

Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (2)

T *-extension ofn-Lie algebras ⋮ Generalized metricn-Leibniz algebras and generalized orthogonal representationof metric Lie algebras

Cites Work

• Unnamed Item
• Plücker-type relations for orthogonal planes
• On foundation of the generalized Nambu mechanics
• Socle and some invariants of quadratic Lie superalgebras
• Representations of Vector Productn-Lie Algebras
• Lie algebras admitting a unique quadratic structure
• The structures of bi-symmetric algebras and their sub-adjacent lie algebras
• Generalized Hamiltonian Dynamics

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