Restricted Lie (super)algebras in characteristic 3

DOI10.1007/s10688-018-0206-7zbMath1420.17020arXiv1809.08582OpenAlexW2795036570MaRDI QIDQ1646317

I. M. Shchepochkina, Sofiane Bouarroudj, Dimitry Leites, Alexei Lebedev, Andrey Krutov

Publication date: 25 June 2018

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.08582

zbMATH Keywords

Lie superalgebrarestricted Lie algebracharacteristic 3

Mathematics Subject Classification ID

Modular Lie (super)algebras (17B50)

Related Items (7)

Symplectic double extensions for restricted quasi-Frobenius Lie (super)algebras ⋮ Deformations of symmetric simple modular Lie (super)algebras ⋮ Derivations and central extensions of symmetric modular Lie algebras and superalgebras (with an appendix by Andrey Krutov) ⋮ Double extensions of restricted Lie (super)algebras ⋮ Simple vectorial Lie algebras in characteristic 2 and their superizations ⋮ Double extensions of Lie superalgebras in characteristic 2 with nondegenerate invariant supersymmetric bilinear form ⋮ Cohomologically rigid solvable Lie superalgebras with model filiform and model nilpotent nilradical

Cites Work

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• Deformations of the Lie algebra \(\mathfrak{o}(5)\) in characteristics \(3\) and \(2\)
• Classification of restricted simple Lie algebras
• Structures of \(G(2)\) type and nonintegrable distributions in characteristic \(p\)
• New Simple Lie Algebras in Characteristic 2
• Simple Lie algebras over fields of positive characteristic. I: Structure theory

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