Structure Theory

Language: English

Published by De Gruyter, De Gruyter Apr 2017, 2017

3110515164 / 9783110515169

Series: Book 68 of 100 - De Gruyter Expositions in Mathematics

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This item is printed on demand - Print on Demand Titel. Neuware -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 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. This conjecture was proved for p > 7 by Block and Wilson in 1988. The generalization of the Kostrikin-Shafarevich Conjecture for the general case of not necessarily restricted Lie algebras and p > 7 was announced in 1991 by Strade and Wilson and eventually proved by Strade in 1998. The final Block-Wilson-Strade-Premet Classification Theorem is a landmark result of modern mathematics and can be formulated as follows: Every simple finite dimensional simple Lie algebra > 3 is of classical, Cartan, or Melikian type.In the three-volume book, the author is assembling the proof of the Classification Theorem with explanations and references. The goal is a state-of-the-art account on the structure and classification theory of Lie algebras over fields of positive characteristic.This first volume is devoted to preparing the ground for the classification work to be performed in the second and third volumes. The concise presentation of the general theory underlying the subject matter and the presentation of classification results on a subclass of the simple Lie algebras for all odd primes will make this volume an invaluable source and reference for all research mathematicians and advanced graduate students in algebra. The second edition is corrected.ContentsToral subalgebras in p-envelopesLie algebras of special derivationsDerivation simple algebras and modulesSimple Lie algebrasRecognition theoremsThe isomorphism problemStructure of simple Lie algebrasPairings of induced modulesToral rank 1 Lie algebrasDe Gruyter Mouton, Genthiner Straße 13, 10785 Berlin 550 pp. Englisch.…

Seller Inventory # 9783110515169

Title
Structure Theory
Author
Helmut Strade
Publisher
De Gruyter, De Gruyter Apr 2017
Publication year
2017
Condition
Neu
Binding
Buch
Language
English
ISBN 10
3110515164
ISBN 13
9783110515169
Edition
2nd Edition
Item weight
1,101 grams
Dimensions
246x175x35 mm
Series
Book 68 of 100: De Gruyter Expositions in Mathematics

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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