A new invariant of quadratic Lie algebras

DOI10.1007/s10468-011-9284-4zbMath1271.17004arXiv1005.3970OpenAlexW2592507484MaRDI QIDQ694579

Minh Thanh Duong, Rosane Ushirobira, Georges Pinczon

Publication date: 13 December 2012

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.3970

zbMATH Keywords

invariantssolvable Lie algebrasadjoint orbitsdouble extensionsquadratic Lie algebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (8)

Nondegenerate invariant symmetric bilinear forms on simple Lie superalgebras in characteristic 2 ⋮ Two-step nilpotent quadratic Lie algebras and 8-dimensional non-commutative symmetric Novikov algebras ⋮ Hom-Lie algebras with symmetric invariant nondegenerate bilinear forms ⋮ Invariant metrics on current Lie algebras ⋮ Singular quadratic Lie superalgebras ⋮ Double extensions on Riemannian Ricci nilsolitons ⋮ Minimal graded Lie algebras and representations of quadratic algebras ⋮ The Betti numbers for a family of solvable Lie algebras

Cites Work

• Determination of 7-dimensional indecomposable nilpotent complex Lie algebras by adjoining a derivation to 6-dimensional Lie algebras
• Lie algebras with quadratic dimension equal to 2
• Computing invariants and semi-invariants by means of Frobenius Lie algebras
• Symmetric, invariant, non-degenerate bilinear form on a Lie algebra
• Socle and some invariants of quadratic Lie superalgebras
• Algèbres de Lie et produit scalaire invariant
• Lie algebras admitting a unique quadratic structure
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