Simple Lie algebras of small characteristic. III: The toral rank 2 case,

DOI10.1006/jabr.2001.8806zbMath0982.17010OpenAlexW132696244WikidataQ115395730 ScholiaQ115395730MaRDI QIDQ5945622

Alexander Premet, Helmut Strade

Publication date: 11 April 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.8806

zbMATH Keywords

torus\(p\)-envelopeabsolute toral rankclassification of finite-dimensional simple Lie algebrasgeneralized Kostrikin-Shafarevich conjectureLie algebra of Cartan typeLie algebra of classical typeMelikyan algebrasmall characteristic

Mathematics Subject Classification ID

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

Related Items (14)

Simple Lie algebras of small characteristic. IV: Solvable and classical roots ⋮ Restricted Lie algebras with maximal 0-PIM ⋮ Infinitesimal deformations of restricted simple Lie algebras. I ⋮ The Geometry of Extremal Elements in a Lie Algebra ⋮ A modular analogue of Morozov's theorem on maximal subalgebras of simple Lie algebras ⋮ Equivalence of categories of simple Lie algebras in positive characteristic ⋮ Deformations of \(W_{1}(n)\otimes A\) and modular semisimple Lie algebras with a solvable maximal subalgebra. ⋮ Simple Lie algebras of small characteristic. V: The non-Melikian case ⋮ RESTRICTED INFINITESIMAL DEFORMATIONS OF RESTRICTED SIMPLE LIE ALGEBRAS ⋮ Simple Lie algebras of small characteristic. VI: Completion of the classification ⋮ Tori in the Melikian algebra ⋮ Cohomology of restricted Lie algebras of Hamiltonian vector fields: computer analysis ⋮ Simple Lie algebras having extremal elements ⋮ Infinitesimal deformations of restricted simple Lie algebras. II

Cites Work

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• The classification of the simple modular Lie algebras. IV: Determining the associated graded algebra
• The classification of the simple modular Lie algebras. I: Determination of the two-sections
• Classification of the restricted simple Lie algebras with toral Cartan subalgebras
• Classification of restricted simple Lie algebras
• Graded Lie algebras with classical reductive null component
• The simple Lie \(p\)-algebras of rank two
• The classification of the simple modular Lie algebras. III: Solution of the classical case
• The classification of the simple modular Lie algebras. II: The toral structure
• A structural characterization of the simple Lie algebras of generalized Cartan type over fields of prime characteristic
• On the structure of the minimal ideal of some graded Lie algebras in characteristic \(p>0\)
• Simple Lie algebras of small characteristic. II: Exceptional roots
• A generalization of Wilson's theorem on Cartan subalgebras of simple Lie algebras
• The classification of the simple modular Lie algebras. V: Algebras with Hamiltonian two-sections
• Simple Lie algebras of small characteristic. I: Sandwich elements
• On the structure of the graded Lie algebra associated with a noncontractible filtration
• Toral rank one simple Lie algebras of low characteristics
• The classification of simple Lie algebras over fields of positive characteristic: methods and results
• On the toral structure of Lie p-algebras
• The existence of a maximal invariant subalgebras in simple Lie algebras of Cartan type
• Remarks on A theorem on special linear groups
• Über Wittsche Lie-Ringe
• On lie algebras of contact type
• The melikyan algebras as lie algebras of the type G₂
• On Subalgebras of Simple lie Algebras of Characteristic p > 0
• On Generalized Witt Algebras
• Lie Algebra Representations of Dimension < p 2
• WEIGHTS OF INFINITESIMALLY IRREDUCIBLE REPRESENTATIONS OF CHEVALLEY GROUPS OVER A FIELD OF PRIME CHARACTERISTIC
• Simple Lie Algebras of Toral Rank One
• The classification of the simple modular Lie algebras: VI. Solving the final case
• CARTAN SUBALGEBRAS OF SIMPLE NONCLASSICAL LIEp-ALGEBRAS

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