Simple Lie Algebras over Fields of Positive Characteristic: II. Classifying the Absolute Toral Rank Two Case (De Gruyter Expositions in Mathematics)

Sprache: Englisch

Verlag: Walter de Gruyter, 2009

3110197014 / 9783110197013

Serie: Buch 16 von 100 - De Gruyter Expositions in Mathematics

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Hardcover, vi + 384 pages, NOT ex-library. Clean and bright throughout, with unmarked text, free of inscriptions and stamps, firmly bound. Boards show gentle shelfwear. Published without a dust jacket. -- 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 over an algebraically closed field of characteristic p > 3 is of classical, Cartan, or Melikian type. -- This is the second part of a three-volume book about the classification of the simple Lie algebras over algebraically closed fields of characteristic > 3. The first volume contains the methods, examples and a first classification result. This second volume presents insight in the structure of tori of Hamiltonian and Melikian algebras. Based on sandwich element methods due to A. I. Kostrikin and A. A. Premet and the investigations of filtered and graded Lie algebras, a complete proof for the classification of absolute toral rank 2 simple Lie algebras over algebraically closed fields of characteristic > 3 is given. -- Contents: Tori in Hamiltonian and Melikian algebras; 1-sections; Sandwich elements and rigid tori; Towards graded algebras; The toral rank 2 case; Supplements to Volume 1; Notations; Bibliography; Index.…

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Titel
Simple Lie Algebras over Fields of Positive Characteristic: II. Classifying the Absolute Toral Rank Two Case (De Gruyter Expositions in Mathematics)
Autor
Helmut Strade
Verlag
Walter de Gruyter
Veröffentlichungsjahr
2009
Zustand
Very Good
Einband
Hardcover
Sprache
Englisch
ISBN-10
3110197014
ISBN-13
9783110197013
Ausgabe
1st Edition
Serie
Buch 16 von 100: De Gruyter Expositions in Mathematics

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All U.S.-bound orders are now shipped with UPS for reliable delivery. Additional customs or import fees are highly unlikely; however, please note buyers remain responsible for any duties or taxes that U.S. Customs may assess. -- Killarneybooks is a family-run bookshop based in the Republic of Ireland. We take pride in accurate listings, careful packaging, and prompt service - most orders ship within 24 hours. All books listed are in stock and ready for immediate dispatch - we are not dropshippers. Inquiries always welcome.…

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