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

The problem of classifying the finite-dimensional simple Lie algebras over fields of characteristic p & 0 is a long-standing one. Work on this question during the last 35 years has been directed by the Kostrikin-Shafarevich Conjecture of 1966, which states that over an algebraically closed field...

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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Strade, Helmut, 1942-
Format: Électronique eBook
Langue:Alemán
Publié: New York : Walter de Gruyter, 2004.
Collection:De Gruyter expositions in mathematics ; 38.
Sujets:
Accès en ligne:Texto completo
Table des matières:
  • Simple Lie Algebras over Fieldsof Positive Characteristic; Contents; Introduction; Chapter 1Toral subalgebras in p-envelopes; Chapter 2Lie algebras of special derivations; Chapter 3Derivation simple algebras and modules; Chapter 4Simple Lie algebras; Chapter 5Recognition theorems; Chapter 6The isomorphism problem; Chapter 7Structure of simple Lie algebras; Chapter 8Pairings of induced modules; Chapter 9Toral rank 1 Lie algebras; Notation; Bibliography; Index.