Simple Lie algebras over fields of positive characteristic. I: Structure theory

DOI10.1515/9783110515442zbMath1361.17017OpenAlexW4237747210MaRDI QIDQ5892311

Helmut Strade

Publication date: 7 March 2017

Published in: De Gruyter Expositions in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/9783110515442

zbMATH Keywords

automorphism grouptorusgraded Lie algebra\(p\)-envelopeabsolute toral rankCartan prolongationderivation algebrarecognition theoremsimple Lie algebramaximal torusrestricted universal enveloping algebraMelikian algebrastrigonalizabilityderivation simple algebrafiltered Lie algebraLie algebras of Cartan typeLie algebras of classical typeMills-Seligman characterizationpairing of induced modulestoral rank onetoral switchingZassenhaus algebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Simple, semisimple, reductive (super)algebras (17B20) Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras (17-02) Modular Lie (super)algebras (17B50)

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A generalized Abhyankar's conjecture for simple Lie algebras in characteristic \(p>5\) ⋮ Five-dimensional \(p\)-nilpotent restricted Lie algebras over algebraically closed fields of characteristic \(p > 3\) ⋮ A sum-bracket theorem for simple Lie algebras ⋮ The nilpotent variety of W(1;n)p is irreducible ⋮ Spectral sequences for commutative Lie algebras

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