Linear Representations of Groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1989
|
| Schriftenreihe: | Basler Lehrbücher, A Series of Advanced Textbooks in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book gives an exposition of the fundamentals of the theory of linear representations of finite and compact groups, as well as elements of the the ory of linear representations of Lie groups. As an application we derive the Laplace spherical functions. The book is based on lectures that I delivered in the framework of the experimental program at the Mathematics-Mechanics Faculty of Moscow State University and at the Faculty of Professional Skill Improvement. My aim has been to give as simple and detailed an account as possible of the problems considered. The book therefore makes no claim to completeness. Also, it can in no way give a representative picture of the modern state of the field under study as does, for example, the monograph of A. A. Kirillov [3]. For a more complete acquaintance with the theory of representations of finite groups we recommend the book of C. W. Curtis and I. Reiner [2], and for the theory of representations of Lie groups, that of M. A. Naimark [6]. Introduction The theory of linear representations of groups is one of the most widely ap plied branches of algebra. Practically every time that groups are encountered, their linear representations play an important role. In the theory of groups itself, linear representations are an irreplaceable source of examples and a tool for investigating groups. In the introduction we discuss some examples and en route we introduce a number of notions of representation theory. O. |
| Beschreibung: | 1 Online-Ressource (VI, 146 p) |
| ISBN: | 9783034892742 9783034899734 |
| DOI: | 10.1007/978-3-0348-9274-2 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804153096635416576 |
|---|---|
| any_adam_object | |
| author | Vinberg, Ėrnest B. 1937-2020 |
| author_GND | (DE-588)115668063 |
| author_facet | Vinberg, Ėrnest B. 1937-2020 |
| author_role | aut |
| author_sort | Vinberg, Ėrnest B. 1937-2020 |
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| ctrlnum | (OCoLC)863882034 (DE-599)BVBBV042422339 |
| dewey-full | 512 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512 |
| dewey-search | 512 |
| dewey-sort | 3512 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-9274-2 |
| format | Electronic eBook |
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| spelling | Vinberg, Ėrnest B. 1937-2020 Verfasser (DE-588)115668063 aut Linear Representations of Groups by Ernest B. Vinberg Basel Birkhäuser Basel 1989 1 Online-Ressource (VI, 146 p) txt rdacontent c rdamedia cr rdacarrier Basler Lehrbücher, A Series of Advanced Textbooks in Mathematics This book gives an exposition of the fundamentals of the theory of linear representations of finite and compact groups, as well as elements of the the ory of linear representations of Lie groups. As an application we derive the Laplace spherical functions. The book is based on lectures that I delivered in the framework of the experimental program at the Mathematics-Mechanics Faculty of Moscow State University and at the Faculty of Professional Skill Improvement. My aim has been to give as simple and detailed an account as possible of the problems considered. The book therefore makes no claim to completeness. Also, it can in no way give a representative picture of the modern state of the field under study as does, for example, the monograph of A. A. Kirillov [3]. For a more complete acquaintance with the theory of representations of finite groups we recommend the book of C. W. Curtis and I. Reiner [2], and for the theory of representations of Lie groups, that of M. A. Naimark [6]. Introduction The theory of linear representations of groups is one of the most widely ap plied branches of algebra. Practically every time that groups are encountered, their linear representations play an important role. In the theory of groups itself, linear representations are an irreplaceable source of examples and a tool for investigating groups. In the introduction we discuss some examples and en route we introduce a number of notions of representation theory. O. Mathematics Algebra Mathematik Endliche Gruppe (DE-588)4014651-0 gnd rswk-swf Kompakte Gruppe (DE-588)4164840-7 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Lineare Darstellung (DE-588)4167703-1 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Gruppentheorie (DE-588)4072157-7 s Lineare Darstellung (DE-588)4167703-1 s 2\p DE-604 Endliche Gruppe (DE-588)4014651-0 s 3\p DE-604 Lie-Gruppe (DE-588)4035695-4 s 4\p DE-604 Kompakte Gruppe (DE-588)4164840-7 s 5\p DE-604 https://doi.org/10.1007/978-3-0348-9274-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Vinberg, Ėrnest B. 1937-2020 Linear Representations of Groups Mathematics Algebra Mathematik Endliche Gruppe (DE-588)4014651-0 gnd Kompakte Gruppe (DE-588)4164840-7 gnd Gruppentheorie (DE-588)4072157-7 gnd Lie-Gruppe (DE-588)4035695-4 gnd Lineare Darstellung (DE-588)4167703-1 gnd |
| subject_GND | (DE-588)4014651-0 (DE-588)4164840-7 (DE-588)4072157-7 (DE-588)4035695-4 (DE-588)4167703-1 (DE-588)4123623-3 |
| title | Linear Representations of Groups |
| title_auth | Linear Representations of Groups |
| title_exact_search | Linear Representations of Groups |
| title_full | Linear Representations of Groups by Ernest B. Vinberg |
| title_fullStr | Linear Representations of Groups by Ernest B. Vinberg |
| title_full_unstemmed | Linear Representations of Groups by Ernest B. Vinberg |
| title_short | Linear Representations of Groups |
| title_sort | linear representations of groups |
| topic | Mathematics Algebra Mathematik Endliche Gruppe (DE-588)4014651-0 gnd Kompakte Gruppe (DE-588)4164840-7 gnd Gruppentheorie (DE-588)4072157-7 gnd Lie-Gruppe (DE-588)4035695-4 gnd Lineare Darstellung (DE-588)4167703-1 gnd |
| topic_facet | Mathematics Algebra Mathematik Endliche Gruppe Kompakte Gruppe Gruppentheorie Lie-Gruppe Lineare Darstellung Lehrbuch |
| url | https://doi.org/10.1007/978-3-0348-9274-2 |
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