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020 a| 9783110197945;

020 a| 3110197944 (E-Book)c| USD 210.00 Retail Price9| Active Record;

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100 1 a| Strade, Helmute| Author?| UNAUTHORIZED;

245 10 a| Simple Lie Algebras over Fields of Positive Characteristich| [electronic resource];

260 a| Boston : b| Walter De Gruyter Incorporated;

300 a| VIII, 540 p.;

440 0 a| De Gruyter Expositions in Mathematics Ser.v| 38;

506 a| Available only to authorized users.;

520 8 a| Annotationb| 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 35 years has been directed by the KostrikinShafarevich 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 KostrikinShafarevich 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 BlockWilsonStradePremet 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 first volume is devoted to preparing the ground for the classification work to be performed in the second volume.;

538 a| Mode of access: World Wide Web;

650 4 a| Lie Algebras;

655 0 a| Electronic books.=| ^A491897;

856 40 z| Full text available from Ebook Central - Academic Completeu| https://ebookcentral.proquest.com/lib/eastcarolina/detail.action?docID=314059;

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Simple Lie Algebras over Fields of Positive Characteristic

Author/creator	Strade, Helmut Author
Format	Electronic
Publication Info	Boston : Walter De Gruyter Incorporated
Description	VIII, 540 p.
Supplemental Content	Full text available from Ebook Central - Academic Complete
Subjects	Lie Algebras

Series	De Gruyter Expositions in Mathematics Ser. 38
Summary	Annotation 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 35 years has been directed by the KostrikinShafarevich 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 KostrikinShafarevich 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 BlockWilsonStradePremet 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 first volume is devoted to preparing the ground for the classification work to be performed in the second volume.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
ISBN	9783110197945
ISBN	3110197944 (E-Book) Active Record
Standard identifier#	9783110197945
Stock number	00007582

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