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|a UAMI
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|a Strade, Helmut,
|d 1942-
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|a Simple Lie algebras over fields of positive characteristic.
|n I,
|p Structure theory /
|c by Helmut Strade.
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|a Structure theory
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|a New York :
|b Walter de Gruyter,
|c 2004.
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|a 1 online resource (viii, 540 pages) :
|b illustrations
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|a text
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|a online resource
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|a De Gruyter expositions in mathematics ;
|v 38
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|a Includes bibliographical references (pages 527-537) and index.
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|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.
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|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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|a Lie algebras.
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|a Algèbres de Lie.
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|a MATHEMATICS
|x Algebra
|x Linear.
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|i Print version:
|a Strade, Helmut, 1942-
|t Simple Lie algebras over fields of positive characteristic. I, Structure theory.
|d New York : Walter de Gruyter, 2004
|z 3110142112
|z 9783110142112
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