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 45 years has bee… Mehr…
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 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 second part of the three-volume book about the classification of the simple Lie algebras over algebraically closed fields of characteristics > 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 Aleksei. I. Kostrikin and Alexander A. Premet and the investigation of absolute toral rank 2 simple Lie algebras over algebraically closed fields of characteristics > 3 is given. De Gruyter Abstract Algebra 9783110197013 DE,GB,US,ES,IT,FR,MX English Mathematics, De Gruyter<
This is the secondvolume by the author, presenting the state of the art of the structure and classification of Lie algebras over fields of positive characteristic, an important topic in a… Mehr…
This is the secondvolume by the author, presenting the state of the art of the structure and classification of Lie algebras over fields of positive characteristic, an important topic in algebra. The contents is leading to the forefront of current research in this field. Leading to the forefront of current research in an important topic of algebra. eBook Helmut Strade PDF, Walter de Gruyter, 04.09.2009, Walter de Gruyter, 2009<
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This is the secondvolume by the author, presenting the state of the art of the structure and classification of Lie algebras over fields of positive characteristic, an important topic in a… Mehr…
This is the secondvolume by the author, presenting the state of the art of the structure and classification of Lie algebras over fields of positive characteristic, an important topic in algebra. The contents is leading to the forefront of current research in this field. Leading to the forefront of current research in an important topic of algebra. eBook Helmut Strade 04.09.2009, Walter de Gruyter, Walter de Gruyter<
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(*) Derzeit vergriffen bedeutet, dass dieser Titel momentan auf keiner der angeschlossenen Plattform verfügbar ist.
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 45 years has bee… Mehr…
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 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 second part of the three-volume book about the classification of the simple Lie algebras over algebraically closed fields of characteristics > 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 Aleksei. I. Kostrikin and Alexander A. Premet and the investigation of absolute toral rank 2 simple Lie algebras over algebraically closed fields of characteristics > 3 is given. De Gruyter Abstract Algebra 9783110197013 DE,GB,US,ES,IT,FR,MX English Mathematics, De Gruyter<
This is the secondvolume by the author, presenting the state of the art of the structure and classification of Lie algebras over fields of positive characteristic, an important topic in a… Mehr…
This is the secondvolume by the author, presenting the state of the art of the structure and classification of Lie algebras over fields of positive characteristic, an important topic in algebra. The contents is leading to the forefront of current research in this field. Leading to the forefront of current research in an important topic of algebra. eBook Helmut Strade PDF, Walter de Gruyter, 04.09.2009, Walter de Gruyter, 2009<
Nr. 25408800. Versandkosten:, Sofort per Download lieferbar, DE. (EUR 0.00)
This is the secondvolume by the author, presenting the state of the art of the structure and classification of Lie algebras over fields of positive characteristic, an important topic in a… Mehr…
This is the secondvolume by the author, presenting the state of the art of the structure and classification of Lie algebras over fields of positive characteristic, an important topic in algebra. The contents is leading to the forefront of current research in this field. Leading to the forefront of current research in an important topic of algebra. eBook Helmut Strade 04.09.2009, Walter de Gruyter, Walter de Gruyter<
Nr. 25408800. Versandkosten:, Sofort per Download lieferbar, zzgl. Versandkosten. (EUR 16.97)
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This is the secondvolume by the author, presenting the state of the art of the structure and classification of Lie algebras over fields of positive characteristic, an important topic in algebra. The contents is leading to the forefront of current research in this field. Leading to the forefront of current research in an important topic of algebra.
Detailangaben zum Buch - Classifying the Absolute Toral Rank Two Case
EAN (ISBN-13): 9783110203059 ISBN (ISBN-10): 3110203057 Erscheinungsjahr: 2009 Herausgeber: De Gruyter
Buch in der Datenbank seit 2008-02-16T07:58:27+01:00 (Zurich) Detailseite zuletzt geändert am 2024-02-14T15:23:01+01:00 (Zurich) ISBN/EAN: 3110203057
ISBN - alternative Schreibweisen: 3-11-020305-7, 978-3-11-020305-9 Alternative Schreibweisen und verwandte Suchbegriffe: Autor des Buches: helmut strade, helmut walter Titel des Buches: algebra, the positive, simple lie algebras, tora bora, rank
Daten vom Verlag:
Autor/in: Helmut Strade Titel: De Gruyter Expositions in Mathematics; Helmut Strade: Simple Lie Algebras over Fields of Positive Characteristic; Helmut Strade: Simple Lie Algebras over Fields of Positive Characteristic / Classifying the Absolute Toral Rank Two Case Verlag: De Gruyter 385 Seiten Erscheinungsjahr: 2009-09-04 Berlin/Boston Sprache: Englisch 195,95 € (DE) 195,95 € (AT) Available
EA; E107; Nonbooks, PBS / Mathematik/Allgemeines, Lexika; Algebra; Verstehen; MAT002000 MATHEMATICS / Algebra / General; MAT014000 MATHEMATICS / Group Theory; Algebra; Mathematik; Lie-Algebra; Gruppentheorie; Lie Algebra; Field of Positive Characteristic; Absolute Toral Rank Two Case; Gruppen und Gruppentheorie; BB
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