Quadratic Lie superalgebras with the completely reducible action of the even part of the odd part

DOI10.1006/jabr.1999.8067zbMath0958.17011OpenAlexW2090312345WikidataQ115395789 ScholiaQ115395789MaRDI QIDQ1969130

Saïd Benayadi

Publication date: 28 August 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8067

zbMATH Keywords

bilinear formquadratic Lie superalgebra

Mathematics Subject Classification ID

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

Related Items (26)

Quadratic Malcev Superalgebras with Reductive Even Part ⋮ Nondegenerate invariant symmetric bilinear forms on simple Lie superalgebras in characteristic 2 ⋮ On deformations of metric Lie superalgebras ⋮ Computer-Aided Study of Double Extensions of Restricted Lie Superalgebras Preserving the Nondegenerate Closed 2-Forms in Characteristic 2 ⋮ Unnamed Item ⋮ Hom-Lie algebras with symmetric invariant nondegenerate bilinear forms ⋮ Quadratic symplectic Lie superalgebras with a filiform module as an odd part ⋮ The Harish-Chandra isomorphism for reductive symmetric superpairs ⋮ Double and Lagrangian extensions for quasi-Frobenius Lie superalgebras ⋮ Contact nilpotent Lie algebras ⋮ 5-dimensional indecomposable contact Lie algebras as double extensions ⋮ Lie superalgebras based on \(\mathfrak{gl}_n\) associated to the adjoint representation, and invariant geometric structures defined on them ⋮ Double extensions of restricted Lie (super)algebras ⋮ Quadratic Malcev superalgebras. ⋮ Quadratic Color Hom-Lie Algebras ⋮ Unnamed Item ⋮ Leibniz Algebras with Invariant Bilinear Forms and Related Lie Algebras ⋮ Odd-quadratic Lie superalgebras ⋮ Double extensions of Lie superalgebras in characteristic 2 with nondegenerate invariant supersymmetric bilinear form ⋮ Quadratic Lie superalgebras with a reductive even part ⋮ Quadratic symplectic Lie superalgebras and Lie bi-superalgebras ⋮ Lie Superalgebras Over 𝔤𝔩₂ ⋮ Quadratic (resp. symmetric) Leibniz superalgebras ⋮ Manin triples and non-degenerate anti-symmetric bilinear forms on Lie superalgebras in characteristic 2 ⋮ Finite dimensional compact and unitary Lie superalgebras ⋮ Socle and some invariants of quadratic Lie superalgebras

Cites Work

• Unnamed Item
• The structure of Lie superalgebras with semisimple even part
• The theory of Lie superalgebras. An introduction
• Nonreductive WZW models and their CFTs
• Lie superalgebras with semisimple even part
• Algèbres de Lie et produit scalaire invariant
• LIE BI-SUPERALGEBRAS AND THE GRADED CLASSICAL YANG-BAXTER EQUATION
• Double extension of quadratic lie superalgebras
• Lie algebras admitting a unique quadratic structure
• On the structure of symmetric self-dual Lie algebras
• Lie superalgebras

This page was built for publication: Quadratic Lie superalgebras with the completely reducible action of the even part of the odd part