Simple Lie algebras over fields of positive characteristic, I, Structure theory:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | German |
| Veröffentlicht: |
New York
Walter de Gruyter
[2004]
|
| Schriftenreihe: | de Gruyter expositions in mathematics
38 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Includes bibliographical references (p. [527]-537) and index Simple Lie Algebras over Fieldsof Positive Characteristic; Contents; Introduction; Chapter 1Toral subalgebras in p-envelopes; Chapter 2Lie algebras of special derivations; Chapter 3Derivation simple algebras and modules; Chapter 4Simple Lie algebras; Chapter 5Recognition theorems; Chapter 6The isomorphism problem; Chapter 7Structure of simple Lie algebras; Chapter 8Pairings of induced modules; Chapter 9Toral rank 1 Lie algebras; Notation; Bibliography; Index 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 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 |
| Beschreibung: | 1 Online-Ressource (viii, 540 p.) |
| ISBN: | 9783110197945 3110197944 |
| DOI: | 10.1515/9783110197945 |
Internformat
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| 245 | 1 | 0 | |a Simple Lie algebras over fields of positive characteristic, I, Structure theory |c by Helmut Strade |
| 246 | 1 | 3 | |a Structure theory |
| 264 | 1 | |a New York |b Walter de Gruyter |c [2004] | |
| 264 | 4 | |c © 2004 | |
| 300 | |a 1 Online-Ressource (viii, 540 p.) | ||
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| 490 | 1 | |a de Gruyter expositions in mathematics |v 38 | |
| 500 | |a Includes bibliographical references (p. [527]-537) and index | ||
| 500 | |a Simple Lie Algebras over Fieldsof Positive Characteristic; Contents; Introduction; Chapter 1Toral subalgebras in p-envelopes; Chapter 2Lie algebras of special derivations; Chapter 3Derivation simple algebras and modules; Chapter 4Simple Lie algebras; Chapter 5Recognition theorems; Chapter 6The isomorphism problem; Chapter 7Structure of simple Lie algebras; Chapter 8Pairings of induced modules; Chapter 9Toral rank 1 Lie algebras; Notation; Bibliography; Index | ||
| 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 35 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 | ||
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| 650 | 7 | |a Lie algebras |2 fast | |
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Datensatz im Suchindex
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| author | Strade, Helmut 1942- |
| author_GND | (DE-588)106816659 |
| author_facet | Strade, Helmut 1942- |
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| author_sort | Strade, Helmut 1942- |
| author_variant | h s hs |
| building | Verbundindex |
| bvnumber | BV043127916 |
| collection | ZDB-23-EXM ZDB-4-EBA |
| ctrlnum | (OCoLC)435620160 (DE-599)BVBBV043127916 |
| 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 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1515/9783110197945 |
| format | Electronic eBook |
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| id | DE-604.BV043127916 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:18:17Z |
| institution | BVB |
| isbn | 9783110197945 3110197944 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028552107 |
| oclc_num | 435620160 |
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| physical | 1 Online-Ressource (viii, 540 p.) |
| psigel | ZDB-23-EXM ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Walter de Gruyter |
| record_format | marc |
| series | de Gruyter expositions in mathematics |
| series2 | de Gruyter expositions in mathematics |
| spelling | Strade, Helmut 1942- (DE-588)106816659 aut Simple Lie algebras over fields of positive characteristic, I, Structure theory by Helmut Strade Structure theory New York Walter de Gruyter [2004] © 2004 1 Online-Ressource (viii, 540 p.) txt rdacontent c rdamedia cr rdacarrier de Gruyter expositions in mathematics 38 Includes bibliographical references (p. [527]-537) and index Simple Lie Algebras over Fieldsof Positive Characteristic; Contents; Introduction; Chapter 1Toral subalgebras in p-envelopes; Chapter 2Lie algebras of special derivations; Chapter 3Derivation simple algebras and modules; Chapter 4Simple Lie algebras; Chapter 5Recognition theorems; Chapter 6The isomorphism problem; Chapter 7Structure of simple Lie algebras; Chapter 8Pairings of induced modules; Chapter 9Toral rank 1 Lie algebras; Notation; Bibliography; Index 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 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 MATHEMATICS / Algebra / Linear bisacsh Lie algebras fast Lie algebras de Gruyter expositions in mathematics 38 (DE-604)BV044998893 38 https://doi.org/10.1515/9783110197945 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Strade, Helmut 1942- Simple Lie algebras over fields of positive characteristic, I, Structure theory de Gruyter expositions in mathematics MATHEMATICS / Algebra / Linear bisacsh Lie algebras fast Lie algebras |
| title | Simple Lie algebras over fields of positive characteristic, I, Structure theory |
| title_alt | Structure theory |
| title_auth | Simple Lie algebras over fields of positive characteristic, I, Structure theory |
| title_exact_search | Simple Lie algebras over fields of positive characteristic, I, Structure theory |
| title_full | Simple Lie algebras over fields of positive characteristic, I, Structure theory by Helmut Strade |
| title_fullStr | Simple Lie algebras over fields of positive characteristic, I, Structure theory by Helmut Strade |
| title_full_unstemmed | Simple Lie algebras over fields of positive characteristic, I, Structure theory by Helmut Strade |
| title_short | Simple Lie algebras over fields of positive characteristic, I, Structure theory |
| title_sort | simple lie algebras over fields of positive characteristic i structure theory |
| topic | MATHEMATICS / Algebra / Linear bisacsh Lie algebras fast Lie algebras |
| topic_facet | MATHEMATICS / Algebra / Linear Lie algebras |
| url | https://doi.org/10.1515/9783110197945 |
| volume_link | (DE-604)BV044998893 |
| work_keys_str_mv | AT stradehelmut simpleliealgebrasoverfieldsofpositivecharacteristicistructuretheory AT stradehelmut structuretheory |