Double extensions of Lie superalgebras in characteristic 2 with nondegenerate invariant supersymmetric bilinear form

DOI10.1016/j.jalgebra.2018.06.005zbMath1457.17007arXiv1707.00970OpenAlexW2962795742WikidataQ115350603 ScholiaQ115350603MaRDI QIDQ724273

Saïd Benayadi, Sofiane Bouarroudj

Publication date: 25 July 2018

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

Full work available at URL: https://arxiv.org/abs/1707.00970

zbMATH Keywords

Lie superalgebracharacteristic 2double extension

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Cohomology of Lie (super)algebras (17B56)

Related Items (9)

Nondegenerate invariant symmetric bilinear forms on simple Lie superalgebras in characteristic 2 ⋮ Computer-Aided Study of Double Extensions of Restricted Lie Superalgebras Preserving the Nondegenerate Closed 2-Forms in Characteristic 2 ⋮ Symplectic double extensions for restricted quasi-Frobenius Lie (super)algebras ⋮ Double and Lagrangian extensions for quasi-Frobenius Lie superalgebras ⋮ Derivations and central extensions of symmetric modular Lie algebras and superalgebras (with an appendix by Andrey Krutov) ⋮ Double extensions of restricted Lie (super)algebras ⋮ Non-degenerate invariant (super)symmetric bilinear forms on simple Lie (super)algebras ⋮ Manin triples and non-degenerate anti-symmetric bilinear forms on Lie superalgebras in characteristic 2 ⋮ Inductive Description of Quadratic Lie and Pseudo-Euclidean Jordan Triple Systems

Uses Software

• SuperLie

Cites Work

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