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Simple Lie Algebras Over Fields of Positive Characteristics: Structure Theory (Volume 1)
Book 68 of 95: De Gruyter Expositions in MathematicsUS$ 39.49
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Add to basketCondition: Good. Volume 1. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,1150grams, ISBN:9783110515169.
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Simple Lie Algebras Over Fields of Positive Characteristic: Structure Theory (Volume 1)
Book 68 of 95: De Gruyter Expositions in MathematicsUS$ 40.37
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Ships from United Kingdom to U.S.A.Quantity: 1 available
Add to basketCondition: Good. Volume 1. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,1100grams, ISBN:9783110515169.
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Hardcover. Condition: Very Good. 1st Edition. 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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Simple Lie Algebras over Fields of Positive Characteristic, II
Book 16 of 95: De Gruyter Expositions in MathematicsSeller: SKULIMA Wiss. Versandbuchhandlung, Westhofen, Germany
Seller rating 5 out of 5 stars
Condition: Neu. II. Classifying the Absolute Toral Rank Two Case. This volume presents the state of the art of the structure and classification of Lie algebras over fields of positive characteristic. The contents is leading to the forefront of current research in this field. VI,384 Seiten, gebunden (de Gruyter Expositions in Mathematics; Vol. 42/Walter de Gruyter 2009). Früher EUR 179,95. Gewicht: 770 g - Gebunden/Gebundene Ausgabe.
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Simple Lie Algebras Over Fields of Positive Characteristic: I. Structure Theory (de Gruyter Expositions in Mathematics)
Book 61 of 95: De Gruyter Expositions in MathematicsSeller: Books From California, Simi Valley, CA, U.S.A.
Seller rating 4 out of 5 stars
Hardcover. Condition: New.
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Condition: Sehr gut. Zustand: Sehr gut | Seiten: 394 | Sprache: Englisch | Produktart: Bücher | 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 algebras1-sectionsSandwich elements and rigid toriTowards graded algebrasThe toral rank 2 case.
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Completion of the Classification
Book 59 of 95: De Gruyter Expositions in MathematicsSeller: PBShop.store UK, Fairford, GLOS, United Kingdom
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Classifying the Absolute Toral Rank Two Case
Book 67 of 95: De Gruyter Expositions in MathematicsSeller: PBShop.store UK, Fairford, GLOS, United Kingdom
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Structure Theory
Book 68 of 95: De Gruyter Expositions in MathematicsSeller: PBShop.store UK, Fairford, GLOS, United Kingdom
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HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000.
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HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000.
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Simple Lie Algebras over Field of Positive Characteristic : Structure Theory
Book 68 of 95: De Gruyter Expositions in MathematicsSeller: GreatBookPricesUK, Woodford Green, United Kingdom
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Classifying the Absolute Toral Rank Two Case
Book 67 of 95: De Gruyter Expositions in MathematicsSeller: GreatBookPricesUK, Woodford Green, United Kingdom
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Simple Lie Algebras over Fields of Positive Characteristic : Completion of the Classification
Book 59 of 95: De Gruyter Expositions in MathematicsSeller: GreatBookPricesUK, Woodford Green, United Kingdom
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Structure Theory (De Gruyter Expositions in Mathematics, 38)
Book 68 of 95: De Gruyter Expositions in MathematicsSeller: Ria Christie Collections, Uxbridge, United Kingdom
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Classifying the Absolute Toral Rank Two Case (De Gruyter Expositions in Mathematics, 42)
Book 67 of 95: De Gruyter Expositions in MathematicsSeller: Ria Christie Collections, Uxbridge, United Kingdom
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Condition: As New. Unread book in perfect condition.
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Condition: As New. Unread book in perfect condition.
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Condition: As New. Unread book in perfect condition.
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Classifying the Absolute Toral Rank Two Case (De Gruyter Expositions in Mathematics)
Book 67 of 95: De Gruyter Expositions in MathematicsLanguage: English
Published by Walter De Gruyter Inc, 2017
ISBN 10: 3110516764 ISBN 13: 9783110516760
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Add to basketHardcover. Condition: Brand New. 2nd edition. 398 pages. 9.45x6.69x1.06 inches. In Stock.
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Simple Lie Algebras over Field of Positive Characteristic: Structure Theory: Vol 1
Book 68 of 95: De Gruyter Expositions in MathematicsUS$ 210.41
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Add to basketHardcover. Condition: Brand New. 2nd edition. 540 pages. 9.50x7.00x1.50 inches. In Stock.
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Classifying the Absolute Toral Rank Two Case
Book 67 of 95: De Gruyter Expositions in MathematicsSeller: GreatBookPricesUK, Woodford Green, United Kingdom
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Simple Lie Algebras over Fields of Positive Characteristic : Completion of the Classification
Book 59 of 95: De Gruyter Expositions in MathematicsSeller: GreatBookPricesUK, Woodford Green, United Kingdom
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