Loops in group theory and lie theory:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; New York
Walter de Gruyter
[2002]
|
| Schriftenreihe: | de Gruyter expositions in mathematics
35 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Includes bibliographical references (p. [351]-357) and index Main description: In this book the theory of binary systems is considered as a part of group theory and, in particular, within the framework of Lie groups. The novelty is the consequent treatment of topological and differentiable loops as topological and differentiable sections in Lie groups. The interplay of methods and tools from group theory, differential geometry and topology, symmetric spaces, topological geometry, and the theory of foliations is what gives a special flavour to the results presented in this book. It is the first monograph devoted to the study of global loops. So far books on differentiable loops deal with local loops only. This theory can only be used partially for the theory of global loops since non-associative local structures have, in general, no global forms. The text is addressed to researchers in non-associative algebra and foundations of geometry. It should prove enlightening to a broad range of readers, including mathematicians working in group theory, the theory of Lie groups, in differential and topological geometry, and in algebraic groups. The authors have produced a text that is suitable not only for a graduate course, but also for selfstudy in the subjectby interested graduate students. Moreover, the material presented can be used for lectures and seminars in algebra, topological algebra and geometry |
| Beschreibung: | 1 Online-Ressource (xi, 361 p) |
| ISBN: | 9783110900583 |
Internformat
MARC
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| 490 | 1 | |a de Gruyter expositions in mathematics |v 35 | |
| 500 | |a Includes bibliographical references (p. [351]-357) and index | ||
| 500 | |a Main description: In this book the theory of binary systems is considered as a part of group theory and, in particular, within the framework of Lie groups. The novelty is the consequent treatment of topological and differentiable loops as topological and differentiable sections in Lie groups. The interplay of methods and tools from group theory, differential geometry and topology, symmetric spaces, topological geometry, and the theory of foliations is what gives a special flavour to the results presented in this book. It is the first monograph devoted to the study of global loops. So far books on differentiable loops deal with local loops only. This theory can only be used partially for the theory of global loops since non-associative local structures have, in general, no global forms. The text is addressed to researchers in non-associative algebra and foundations of geometry. It should prove enlightening to a broad range of readers, including mathematicians working in group theory, the theory of Lie groups, in differential and topological geometry, and in algebraic groups. The authors have produced a text that is suitable not only for a graduate course, but also for selfstudy in the subjectby interested graduate students. Moreover, the material presented can be used for lectures and seminars in algebra, topological algebra and geometry | ||
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Nagy, Péter T. Strambach, Karl 1939- |
| author_GND | (DE-588)106173146 |
| author_facet | Nagy, Péter T. Strambach, Karl 1939- |
| author_role | aut aut |
| author_sort | Nagy, Péter T. |
| author_variant | p t n pt ptn k s ks |
| building | Verbundindex |
| bvnumber | BV042353274 |
| classification_rvk | SK 340 |
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| ctrlnum | (OCoLC)811407193 (DE-599)BVBBV042353274 |
| dewey-full | 512/.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.2 |
| dewey-search | 512/.2 |
| dewey-sort | 3512 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV042353274 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:19:17Z |
| institution | BVB |
| isbn | 9783110900583 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027789755 |
| oclc_num | 811407193 |
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| physical | 1 Online-Ressource (xi, 361 p) |
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| publishDate | 2002 |
| publishDateSearch | 2002 |
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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 | Nagy, Péter T. aut Loops in group theory and lie theory by Péter T. Nagy, Karl Strambach Berlin ; New York Walter de Gruyter [2002] © 2002 1 Online-Ressource (xi, 361 p) txt rdacontent c rdamedia cr rdacarrier de Gruyter expositions in mathematics 35 Includes bibliographical references (p. [351]-357) and index Main description: In this book the theory of binary systems is considered as a part of group theory and, in particular, within the framework of Lie groups. The novelty is the consequent treatment of topological and differentiable loops as topological and differentiable sections in Lie groups. The interplay of methods and tools from group theory, differential geometry and topology, symmetric spaces, topological geometry, and the theory of foliations is what gives a special flavour to the results presented in this book. It is the first monograph devoted to the study of global loops. So far books on differentiable loops deal with local loops only. This theory can only be used partially for the theory of global loops since non-associative local structures have, in general, no global forms. The text is addressed to researchers in non-associative algebra and foundations of geometry. It should prove enlightening to a broad range of readers, including mathematicians working in group theory, the theory of Lie groups, in differential and topological geometry, and in algebraic groups. The authors have produced a text that is suitable not only for a graduate course, but also for selfstudy in the subjectby interested graduate students. Moreover, the material presented can be used for lectures and seminars in algebra, topological algebra and geometry Lie groups Loops (Group theory) Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Loop (DE-588)4168153-8 gnd rswk-swf Loop (DE-588)4168153-8 s Lie-Gruppe (DE-588)4035695-4 s 1\p DE-604 Strambach, Karl 1939- (DE-588)106173146 aut Erscheint auch als Druck-Ausgabe, Hardcover 3-11-017010-8 Erscheint auch als Druck-Ausgabe, Hardcover 978-3-11-017010-8 de Gruyter expositions in mathematics 35 (DE-604)BV044998893 35 http://www.degruyter.com/doi/book/10.1515/9783110900583 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Nagy, Péter T. Strambach, Karl 1939- Loops in group theory and lie theory de Gruyter expositions in mathematics Lie groups Loops (Group theory) Lie-Gruppe (DE-588)4035695-4 gnd Loop (DE-588)4168153-8 gnd |
| subject_GND | (DE-588)4035695-4 (DE-588)4168153-8 |
| title | Loops in group theory and lie theory |
| title_auth | Loops in group theory and lie theory |
| title_exact_search | Loops in group theory and lie theory |
| title_full | Loops in group theory and lie theory by Péter T. Nagy, Karl Strambach |
| title_fullStr | Loops in group theory and lie theory by Péter T. Nagy, Karl Strambach |
| title_full_unstemmed | Loops in group theory and lie theory by Péter T. Nagy, Karl Strambach |
| title_short | Loops in group theory and lie theory |
| title_sort | loops in group theory and lie theory |
| topic | Lie groups Loops (Group theory) Lie-Gruppe (DE-588)4035695-4 gnd Loop (DE-588)4168153-8 gnd |
| topic_facet | Lie groups Loops (Group theory) Lie-Gruppe Loop |
| url | http://www.degruyter.com/doi/book/10.1515/9783110900583 |
| volume_link | (DE-604)BV044998893 |
| work_keys_str_mv | AT nagypetert loopsingrouptheoryandlietheory AT strambachkarl loopsingrouptheoryandlietheory |