Simple Lie algebras over fields of positive characteristic, III, Completion of the classification:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin
De Gruyter
©2013
|
| Schriftenreihe: | De Gruyter expositions in mathematics
57 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 |
| Beschreibung: | Print version cataloged as a monographic set by Library of Congress Includes bibliographical references "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 |
| Beschreibung: | x, 238 pages |
| ISBN: | 9783110263015 3110263017 3110262983 9783110262988 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV043960253 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 161213s2013 |||| o||u| ||||||eng d | ||
| 020 | |a 9783110263015 |9 978-3-11-026301-5 | ||
| 020 | |a 3110263017 |9 3-11-026301-7 | ||
| 020 | |a 3110262983 |9 3-11-026298-3 | ||
| 020 | |a 9783110262988 |9 978-3-11-026298-8 | ||
| 020 | |a 9783110262988 |9 978-3-11-026298-8 | ||
| 024 | 3 | |a 9783110263015 | |
| 035 | |a (ZDB-4-EBA)ocn834558336 | ||
| 035 | |a (OCoLC)834558336 | ||
| 035 | |a (DE-599)BVBBV043960253 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-1047 |a DE-1046 | ||
| 082 | 0 | |a 512.55 | |
| 100 | 1 | |a Strade, Helmut |d 1942- |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Simple Lie algebras over fields of positive characteristic, III, Completion of the classification |c by Helmut Strade |
| 246 | 1 | 3 | |a Completion of the classification |
| 264 | 1 | |a Berlin |b De Gruyter |c ©2013 | |
| 300 | |a x, 238 pages | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a De Gruyter expositions in mathematics |v 57 | |
| 500 | |a Print version cataloged as a monographic set by Library of Congress | ||
| 500 | |a Includes bibliographical references | ||
| 500 | |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 | ||
| 650 | 7 | |a MATHEMATICS / Algebra / Linear |2 bisacsh | |
| 650 | 7 | |a Lie algebras |2 fast | |
| 650 | 4 | |a Lie algebras | |
| 912 | |a ZDB-4-EBA | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029368957 | ||
| 966 | e | |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=544006 |l FAW01 |p ZDB-4-EBA |q FAW_PDA_EBA |x Aggregator |3 Volltext | |
| 966 | e | |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=544006 |l FAW02 |p ZDB-4-EBA |q FAW_PDA_EBA |x Aggregator |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804176916905721856 |
|---|---|
| any_adam_object | |
| author | Strade, Helmut 1942- |
| author_facet | Strade, Helmut 1942- |
| author_role | aut |
| author_sort | Strade, Helmut 1942- |
| author_variant | h s hs |
| building | Verbundindex |
| bvnumber | BV043960253 |
| collection | ZDB-4-EBA |
| ctrlnum | (ZDB-4-EBA)ocn834558336 (OCoLC)834558336 (DE-599)BVBBV043960253 |
| dewey-full | 512.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.55 |
| dewey-search | 512.55 |
| dewey-sort | 3512.55 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03333nmm a2200469zcb4500</leader><controlfield tag="001">BV043960253</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">161213s2013 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110263015</subfield><subfield code="9">978-3-11-026301-5</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3110263017</subfield><subfield code="9">3-11-026301-7</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3110262983</subfield><subfield code="9">3-11-026298-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110262988</subfield><subfield code="9">978-3-11-026298-8</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110262988</subfield><subfield code="9">978-3-11-026298-8</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9783110263015</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-4-EBA)ocn834558336</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)834558336</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043960253</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-1047</subfield><subfield code="a">DE-1046</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512.55</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Strade, Helmut</subfield><subfield code="d">1942-</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Simple Lie algebras over fields of positive characteristic, III, Completion of the classification</subfield><subfield code="c">by Helmut Strade</subfield></datafield><datafield tag="246" ind1="1" ind2="3"><subfield code="a">Completion of the classification</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin</subfield><subfield code="b">De Gruyter</subfield><subfield code="c">©2013</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">x, 238 pages</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">De Gruyter expositions in mathematics</subfield><subfield code="v">57</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Print version cataloged as a monographic set by Library of Congress</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="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</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Algebra / Linear</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Lie algebras</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Lie algebras</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029368957</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=544006</subfield><subfield code="l">FAW01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FAW_PDA_EBA</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=544006</subfield><subfield code="l">FAW02</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FAW_PDA_EBA</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043960253 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:47Z |
| institution | BVB |
| isbn | 9783110263015 3110263017 3110262983 9783110262988 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029368957 |
| oclc_num | 834558336 |
| open_access_boolean | |
| owner | DE-1047 DE-1046 |
| owner_facet | DE-1047 DE-1046 |
| physical | x, 238 pages |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | De Gruyter |
| record_format | marc |
| series2 | De Gruyter expositions in mathematics |
| spelling | Strade, Helmut 1942- Verfasser aut Simple Lie algebras over fields of positive characteristic, III, Completion of the classification by Helmut Strade Completion of the classification Berlin De Gruyter ©2013 x, 238 pages txt rdacontent c rdamedia cr rdacarrier De Gruyter expositions in mathematics 57 Print version cataloged as a monographic set by Library of Congress Includes bibliographical references "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 MATHEMATICS / Algebra / Linear bisacsh Lie algebras fast Lie algebras |
| spellingShingle | Strade, Helmut 1942- Simple Lie algebras over fields of positive characteristic, III, Completion of the classification MATHEMATICS / Algebra / Linear bisacsh Lie algebras fast Lie algebras |
| title | Simple Lie algebras over fields of positive characteristic, III, Completion of the classification |
| title_alt | Completion of the classification |
| title_auth | Simple Lie algebras over fields of positive characteristic, III, Completion of the classification |
| title_exact_search | Simple Lie algebras over fields of positive characteristic, III, Completion of the classification |
| title_full | Simple Lie algebras over fields of positive characteristic, III, Completion of the classification by Helmut Strade |
| title_fullStr | Simple Lie algebras over fields of positive characteristic, III, Completion of the classification by Helmut Strade |
| title_full_unstemmed | Simple Lie algebras over fields of positive characteristic, III, Completion of the classification by Helmut Strade |
| title_short | Simple Lie algebras over fields of positive characteristic, III, Completion of the classification |
| title_sort | simple lie algebras over fields of positive characteristic iii completion of the classification |
| topic | MATHEMATICS / Algebra / Linear bisacsh Lie algebras fast Lie algebras |
| topic_facet | MATHEMATICS / Algebra / Linear Lie algebras |
| work_keys_str_mv | AT stradehelmut simpleliealgebrasoverfieldsofpositivecharacteristiciiicompletionoftheclassification AT stradehelmut completionoftheclassification |