Some new simple Lie algebras in characteristic 2

DOI10.1016/j.jsc.2010.05.003zbMath1229.17024OpenAlexW2009890000MaRDI QIDQ987704

Bettina Eick

Publication date: 13 August 2010

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2010.05.003

zbMATH Keywords

automorphism groupsimple Lie algebraisomorphism testingclassification in small characteristicsModular Lie algebra

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Simple, semisimple, reductive (super)algebras (17B20) Computational methods for problems pertaining to nonassociative rings and algebras (17-08) Modular Lie (super)algebras (17B50) Software, source code, etc. for problems pertaining to nonassociative rings and algebras (17-04)

Related Items (10)

A Zassenhaus conjecture and CPA-structures on simple modular Lie 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) ⋮ Counterexamples to the Zassenhaus conjecture on simple modular Lie algebras ⋮ A Prolog assisted search for new simple Lie algebras ⋮ Simple vectorial Lie algebras in characteristic 2 and their superizations ⋮ Deformations of current Lie algebras. I: Small algebras in characteristic 2 ⋮ On gradings modulo 2 of simple Lie algebras in characteristic 2 ⋮ On simple 15-dimensional Lie algebras in characteristic 2 ⋮ Commutative Lie algebras and commutative cohomology in characteristic 2

Uses Software

• Sophus

Cites Work

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• Simple Lie Algebras of Low Dimension Over GF (2)
• Non-alternating hamiltonian algebraP(n,m)of characteristic two
• Families of simple lie algebras of characteristic two
• A Computer-Based Approach to the Classification of Nilpotent Lie Algebras
• Simple Lie algebras over fields of positive characteristic. I: Structure theory

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