Simple Lie algebras over fields of positive characteristic. III, Completion of the classification /

Mostrar otras versiones (1)

"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 f...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Strade, Helmut, 1942-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin : De Gruyter, ©2013.
Colección:De Gruyter expositions in mathematics ; 57.
Temas:
Lie algebras.
Algèbres de Lie.
MATHEMATICS > Algebra > Linear.
Lie algebras
Acceso en línea:Texto completo

MARC

LEADER 00000cam a2200000 a 4500
001 EBOOKCENTRAL_ocn834558336
003 OCoLC
005 20240329122006.0
006 m o d
007 cr cn|||||||||
008 130306s2013 gw a ob 000 0 eng d
040 |a E7B  |b eng  |e pn  |c E7B  |d OCLCQ  |d OCLCO  |d AUW  |d N$T  |d OCLCF  |d LRU  |d YDXCP  |d I9W  |d OCLCQ  |d LOA  |d UIU  |d AGLDB  |d COCUF  |d MOR  |d PIFAG  |d OCLCQ  |d U3W  |d STF  |d WRM  |d VTS  |d NRAMU  |d INT  |d AU@  |d OCLCQ  |d WYU  |d TKN  |d OCLCQ  |d UKAHL  |d OCLCQ  |d ADU  |d UKCRE  |d VLY  |d AJS  |d OCLCO  |d OCLCQ  |d OCLCO  |d OCLCL  |d OCLCQ  |d OCLCL 
019 |a 908089191  |a 961658053  |a 962652822  |a 1113190033  |a 1153537651  |a 1162042511 
020 |a 9783110263015  |q (electronic bk.) 
020 |a 3110263017  |q (electronic bk.) 
020 |a 3110262983  |q (print) 
020 |a 9783110262988  |q (print) 
020 |z 9783110262988 
024 3 |a 9783110263015 
029 1 |a AU@  |b 000054193160 
029 1 |a DEBBG  |b BV043110663 
029 1 |a DEBBG  |b BV043960253 
029 1 |a DEBSZ  |b 421273372 
029 1 |a NZ1  |b 15908870 
035 |a (OCoLC)834558336  |z (OCoLC)908089191  |z (OCoLC)961658053  |z (OCoLC)962652822  |z (OCoLC)1113190033  |z (OCoLC)1153537651  |z (OCoLC)1162042511 
037 |n Title subscribed to via ProQuest Academic Complete 
050 4 |a QA252.3  |b .S77 2013eb 
072 7 |a MAT  |x 002050  |2 bisacsh 
082 0 4 |a 512.55 
049 |a UAMI 
100 1 |a Strade, Helmut,  |d 1942-  |1 https://id.oclc.org/worldcat/entity/E39PBJghrhQpmKy64pP8QqMXVC 
245 1 0 |a Simple Lie algebras over fields of positive characteristic.  |n III,  |p Completion of the classification /  |c by Helmut Strade. 
246 3 0 |a Completion of the classification 
260 |a Berlin :  |b De Gruyter,  |c ©2013. 
300 |a 1 online resource (x, 238 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a De Gruyter expositions in mathematics,  |x 0938-6572 ;  |v 57 
500 |a Print version cataloged as a monographic set by Library of Congress. 
504 |a Includes bibliographical references. 
520 |a "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 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."--Publisher's website. 
588 0 |a Online resource; title from digital title page (viewed May 29, 2014). 
505 8 |a 19 Solving the case when all T-roots are solvable19.1 2-sections revisited; 19.2 The case when TR(L) = 3; 19.3 Solvable sections; 19.4 Conclusion; 20 Attacking the general case; 20.1 Optimal tori; 20.2 Root spaces in 2-sections; 20.3 The distinguished subalgebra Q(L, T); 20.4 Pushing the classical case; 20.5 The filtration defined by Q(L, T); 20.6 Determining G(L, T); 20.7 Completing the classification; 20.8 Epilogue; Notation; Bibliography. 
546 |a English. 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Lie algebras. 
650 6 |a Algèbres de Lie. 
650 7 |a MATHEMATICS  |x Algebra  |x Linear.  |2 bisacsh 
650 7 |a Lie algebras  |2 fast 
758 |i has work:  |a III Completion of the classification Simple Lie algebras over fields of positive characteristic (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGYxq4d8XQhpfHhGvxYCcd  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Strade, Helmut, 1942-  |t Simple Lie algebras over fields of positive characteristic.  |d New York : Walter de Gruyter, 2004-<2013->  |z 3110142112  |w (DLC) 2004043901  |w (OCoLC)54460444 
830 0 |a De Gruyter expositions in mathematics ;  |v 57.  |x 0938-6572 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=893162  |z Texto completo 
938 |a Askews and Holts Library Services  |b ASKH  |n AH25311399 
938 |a ebrary  |b EBRY  |n ebr10661457 
938 |a EBSCOhost  |b EBSC  |n 544006 
938 |a YBP Library Services  |b YANK  |n 9340286 
994 |a 92  |b IZTAP 

Ejemplares similares