The classification of the simple modular Lie algebras: VI. Solving the final case

DOI10.1090/S0002-9947-98-01770-XzbMath0923.17020MaRDI QIDQ4211067

Helmut Strade

Publication date: 10 September 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

modular Lie algebrasfinite-dimensional simple Lie algebras

Mathematics Subject Classification ID

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

Related Items (13)

Simple Lie algebras of small characteristic. IV: Solvable and classical roots ⋮ Infinitesimal deformations of restricted simple Lie algebras. I ⋮ Igor Rostislavovich Shafarevich and his mathematical heritage ⋮ Deformations of \(W_{1}(n)\otimes A\) and modular semisimple Lie algebras with a solvable maximal subalgebra. ⋮ RESTRICTED INFINITESIMAL DEFORMATIONS OF RESTRICTED SIMPLE LIE ALGEBRAS ⋮ Simple Lie algebras of small characteristic. VI: Completion of the classification ⋮ ON THE AUTOMORPHISM GROUP SCHEMES OF LIE ALGEBRAS OF WITT TYPE ⋮ Simple Lie algebras of small characteristic. III: The toral rank 2 case, ⋮ Cohomology of restricted Lie algebras of Hamiltonian vector fields: computer analysis ⋮ Gradings of non-graded Hamiltonian Lie algebras ⋮ Infinitesimal deformations of restricted simple Lie algebras. II ⋮ Simple Lie algebras of small characteristic. II: Exceptional roots ⋮ On Restricted Leibniz Algebras

Cites Work

• 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 restricted simple Lie algebras
• Graded Lie algebras with classical reductive null component
• Simple Lie algebras of type S
• 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
• On the structure of the minimal ideal of some graded Lie algebras in characteristic \(p>0\)
• The classification of the simple modular Lie algebras. V: Algebras with Hamiltonian two-sections
• On the toral structure of Lie p-algebras
• Über Wittsche Lie-Ringe
• On Subalgebras of Simple lie Algebras of Characteristic p > 0
• Lie Algebra Representations of Dimension < p 2
• Representations of the (р² - 1)-Dimensional Lie Algebras of R. E. Block
• Simple Lie Algebras of Toral Rank One
• Classification of simple Lie algebras over algebraically closed fields of prime characteristic
• On a Class of Lie Algebras
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