Integrable cocycles and global deformations of Lie algebra of typeG2in characteristic 2

DOI10.1080/00927872.2016.1233241zbMath1427.17031OpenAlexW2528815915MaRDI QIDQ4978361

N. G. Chebochko, Michael Kuznetsov

Publication date: 10 August 2017

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

Full work available at URL: https://doi.org/10.1080/00927872.2016.1233241

zbMATH Keywords

automorphism groupdeformationLie algebra cohomologyLie algebra of Cartan typeGrassmanianfield of characteristic 2classical Lie algebraintegrable cocycle

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Exceptional (super)algebras (17B25) Cohomology of Lie (super)algebras (17B56) Simple, semisimple, reductive (super)algebras (17B20) Modular Lie (super)algebras (17B50)

Related Items (8)

Deformations of symmetric simple modular Lie (super)algebras ⋮ Global deformations of a Lie algebra of type \(\bar{A}_5\) in characteristic 2 ⋮ Double extensions of restricted Lie (super)algebras ⋮ Simple vectorial Lie algebras in characteristic 2 and their superizations ⋮ Deformations of Lie algebras of type \(D_n\) and their factoralgebras over the field of characteristic 2 ⋮ On gradings modulo 2 of simple Lie algebras in characteristic 2 ⋮ Simple 14-dimensional Lie algebras in characteristic two ⋮ Non-degenerate invariant (super)symmetric bilinear forms on simple Lie (super)algebras

Cites Work

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• Simple Lie algebras of type S
• Finite-dimensional simple Lie algebras with a nonsingular derivation
• On the variations of \(G_2\)
• Lie algebras of CL type
• Graded Lie algebras with null component contained in a sum of commuting algebras
• On the deformation of rings and algebras
• Deformations of classical Lie algebras with homogeneous root system in characteristic two. I

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