On gradings modulo 2 of simple Lie algebras in characteristic 2

DOI10.3842/SIGMA.2018.130zbMath1423.17019arXiv1711.00638WikidataQ128765384 ScholiaQ128765384MaRDI QIDQ1755881

Andrey Krutov, Alexei Lebedev

Publication date: 11 January 2019

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.00638

zbMATH Keywords

simple Lie algebracharacteristic 2simple Lie superalgebramodular vectorial Lie algebra

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Simple, semisimple, reductive (super)algebras (17B20) Modular Lie (super)algebras (17B50)

Related Items (7)

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 ⋮ 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) ⋮ Unnamed Item ⋮ Simple vectorial Lie algebras in characteristic 2 and their superizations ⋮ On simple 15-dimensional Lie algebras in characteristic 2

Uses Software

• SuperLie

Cites Work

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• Deformations of current Lie algebras. I: Small algebras in characteristic 2
• Irreducible representations of a three-dimensional simple Lie algebra of characteristic p=2
• Deformations of the Lie algebra \(\mathfrak{o}(5)\) in characteristics \(3\) and \(2\)
• Group gradings on restricted Cartan-type Lie algebras
• Divided power (co)homology. Presentations of simple finite dimensional modular Lie superalgebras with Cartan matrix
• Classification of finite dimensional modular Lie superalgebras with indecomposable Cartan matrix
• Some new simple Lie algebras in characteristic 2
• Gradings on finite-dimensional simple Lie algebras
• Classification of tori in the Zassenhaus algebra
• Toral rank one simple Lie algebras of low characteristics
• Lie algebra deformations in characteristic 2
• Structures of \(G(2)\) type and nonintegrable distributions in characteristic \(p\)
• On the rigidity of semi-direct products of Lie algebras
• ON THE AUTOMORPHISM GROUP SCHEMES OF LIE ALGEBRAS OF WITT TYPE
• Maximal tori of a general Lie algebra of Cartan type
• New Simple Lie Algebras in Characteristic 2
• Integrable cocycles and global deformations of Lie algebra of typeG₂in characteristic 2
• Analogs of the Orthogonal, Hamiltonian, Poisson, and Contact Lie Superalgebras in Characteristic 2
• COUNTING FINE GRADINGS ON MATRIX ALGEBRAS AND ON CLASSICAL SIMPLE LIE ALGEBRAS
• CLASSIFICATION OF HAMILTONIAN FORMS OVER DIVIDED POWER ALGEBRAS
• Simple Lie algebras over fields of positive characteristic. I: Structure theory

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