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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Strade, Helmut, 1942-
Formato: Electrónico eBook
Idioma:Alemán
Publicado: New York : Walter de Gruyter, 2004.
Colección:De Gruyter expositions in mathematics ; 38.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Strade, Helmut,  |d 1942- 
245 1 0 |a Simple Lie algebras over fields of positive characteristic.  |n I,  |p Structure theory /  |c by Helmut Strade. 
246 3 0 |a Structure theory 
260 |a New York :  |b Walter de Gruyter,  |c 2004. 
300 |a 1 online resource (viii, 540 pages) :  |b illustrations 
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490 1 |a De Gruyter expositions in mathematics ;  |v 38 
504 |a Includes bibliographical references (pages 527-537) and index. 
505 0 |a 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. 
520 |a 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 of characteristic p & 5 a finite-dimensional restricted simple Lie algebra is classical or of Cartan type. 
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