On the Cohomology and Extensions of First-Classn-Lie Superalgebras

DOI10.1080/00927872.2013.822877zbMath1332.17006arXiv1304.7335OpenAlexW2021531431MaRDI QIDQ2876313

Yao Ma, Liangyun Chen

Publication date: 18 August 2014

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

Full work available at URL: https://arxiv.org/abs/1304.7335

zbMATH Keywords

cohomologyextension\(n\)-Lie superalgebra

Mathematics Subject Classification ID

Superalgebras (17A70) Graded Lie (super)algebras (17B70) Cohomology of Lie (super)algebras (17B56) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (4)

3-ary Hom-Lie superalgebras induced by Hom-Lie superalgebras ⋮ Induced 3-Hom-Lie superalgebras ⋮ On the cohomology and extensions of \(n\)-ary multiplicative Hom-Nambu-Lie superalgebras ⋮ Some constructions of multiplicative \(n\)-ary Hom-Nambu algebras

Cites Work

• Classification of simple linearly compact \(n\)-Lie superalgebras
• \(T^*\)-extension of Lie triple systems
• Algebraic structures on parallel M2 branes
• Symplectic structures on quadratic Lie algebras
• T*-extension of a 3-Lie algebra
• Cohomology of Lie superalgebras and their generalizations
• T *-extension ofn-Lie algebras

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