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OverviewThe 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 45 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. 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 finite-dimensional simple Lie algebra over an algebraically closed field of characteristic p > 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 leading to the forefront of current research in this field. This is the last of three volumes. In this monograph the proof of the Classification Theorem presented in the first volume is concluded. It collects all the important results on the topic which can be found only in scattered scientific literature so far. Full Product DetailsAuthor: Helmut StradePublisher: De Gruyter Imprint: De Gruyter Volume: v. 57 Weight: 0.565kg ISBN: 9783110262988ISBN 10: 3110262983 Pages: 249 Publication Date: 20 December 2012 Recommended Age: College Graduate Student Audience: College/higher education , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: Manufactured on demand We will order this item for you from a manufactured on demand supplier. Table of ContentsReviewsThe book under review will surely become a primary source of reference on simple Lie algebras of positive characteristic. Its publication makes the achievements in this field accessible to a large group of mathematicians. Mathematical Reviews In conclusion, this book together with the two previous volumes will be very useful for researchers in modular Lie theory [...]. Zentralblatt f r Mathematik The book under review will surely become a primary source of reference on simple Lie algebras of positive characteristic. Its publication makes the achievements in this field accessible to a large group of mathematicians. Mathematical Reviews In conclusion, this book together with the two previous volumes will be very useful for researchers in modular Lie theory [...]. Zentralblatt fur Mathematik Author InformationHelmut Strade, University of Hamburg, Germany. Tab Content 6Author Website:Countries AvailableAll regions |