Simple Lie algebras over fields of positive characteristic.: I, Structure theory /
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...
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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 |
| Zusammenfassung: | 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 resource (viii, 540 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 527-537) and index. |
| ISBN: | 9783110197945 3110197944 |
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| 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 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 | |
| 758 | |i has work: |a Structure theory I Simple Lie algebras over fields of positive characteristic (Text) |1 https://id.oclc.org/worldcat/entity/E39PCH34pqRTbTjRxwkWcX9Qjd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
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| author | Strade, Helmut, 1942- |
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| contents | 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. |
| ctrlnum | (OCoLC)435620160 |
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| discipline | Mathematik |
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| id | ZDB-4-EBA-ocn435620160 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:50Z |
| institution | BVB |
| isbn | 9783110197945 3110197944 |
| language | German |
| oclc_num | 435620160 |
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| physical | 1 online resource (viii, 540 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2004 |
| publishDateSearch | 2004 |
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| publisher | Walter de Gruyter, |
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| series | De Gruyter expositions in mathematics ; |
| series2 | De Gruyter expositions in mathematics ; |
| spelling | Strade, Helmut, 1942- http://id.loc.gov/authorities/names/n86008393 Simple Lie algebras over fields of positive characteristic. I, Structure theory / by Helmut Strade. Structure theory New York : Walter de Gruyter, 2004. 1 online resource (viii, 540 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier De Gruyter expositions in mathematics ; 38 Includes bibliographical references (pages 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. Print version record. Lie algebras. http://id.loc.gov/authorities/subjects/sh85076782 Algèbres de Lie. MATHEMATICS Algebra Linear. bisacsh Lie algebras fast has work: Structure theory I Simple Lie algebras over fields of positive characteristic (Text) https://id.oclc.org/worldcat/entity/E39PCH34pqRTbTjRxwkWcX9Qjd https://id.oclc.org/worldcat/ontology/hasWork Print version: Strade, Helmut, 1942- Simple Lie algebras over fields of positive characteristic. I, Structure theory. New York : Walter de Gruyter, 2004 3110142112 9783110142112 (DLC) 2004043901 (OCoLC)54460444 De Gruyter expositions in mathematics ; 38. http://id.loc.gov/authorities/names/n90653843 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=281595 Volltext |
| spellingShingle | Strade, Helmut, 1942- Simple Lie algebras over fields of positive characteristic. De Gruyter expositions in mathematics ; 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. Lie algebras. http://id.loc.gov/authorities/subjects/sh85076782 Algèbres de Lie. MATHEMATICS Algebra Linear. bisacsh Lie algebras fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85076782 |
| title | Simple Lie algebras over fields of positive characteristic. |
| title_alt | Structure theory |
| title_auth | Simple Lie algebras over fields of positive characteristic. |
| title_exact_search | Simple Lie algebras over fields of positive characteristic. |
| 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. |
| title_sort | simple lie algebras over fields of positive characteristic structure theory |
| topic | Lie algebras. http://id.loc.gov/authorities/subjects/sh85076782 Algèbres de Lie. MATHEMATICS Algebra Linear. bisacsh Lie algebras fast |
| topic_facet | Lie algebras. Algèbres de Lie. MATHEMATICS Algebra Linear. Lie algebras |
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| work_keys_str_mv | AT stradehelmut simpleliealgebrasoverfieldsofpositivecharacteristici AT stradehelmut structuretheory |