Simple Lie algebras over fields of positive characteristic. III: Completion of the classification

DOI10.1515/9783110263015zbMath1287.17012OpenAlexW2493245727MaRDI QIDQ436428

Helmut Strade

Publication date: 20 July 2012

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

Full work available at URL: https://doi.org/10.1515/9783110263015

zbMATH Keywords

torusirreducible modulesimple Lie algebracentral extensionHamiltonian algebras\([p\)-nilpotent element]\(1\)-section\(2\)-section\(3\)-sectionKac's recognition theoremMelikian algebrasMills-Seligman theoremminimal \(p\)-envelopenon-degenerate symmetric invariant bilinear formnon-standard torussemisimple elementsimple Lie algebra of absolute toral rank threesolvable \(1\)-sectiontrigonalizability

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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