Representations of Linear Groups : An Introduction Based on Examples from Physics and Number Theory
This is an elementary introduction to the representation theory of real and complex matrix groups. The text is written for students in mathematics and physics who have a good knowledge of differential/integral calculus and linear algebra and are familiar with basic facts from algebra, number theory...
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| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Wiesbaden :
Vieweg : Springer e-books
[20..].
Cham : Springer Nature |
| Teme: | |
| Online dostop: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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L'impression du document génère 279 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Representations of linear groups, an introduction based on examples from physics and number theory, Rolf Berndt, Wiesbaden, Vieweg, 2007, 1 vol. (VIII-270 p.), 978-3-8348-0319-1 |
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| 020 | |a 9783834894014 | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 084 | |a 20G05. 2010 | ||
| 084 | |a 22E45. 2010 | ||
| 084 | |a 20C25. 2010 | ||
| 084 | |a 20C35. 2010 | ||
| 084 | |a 11F70. 2010 | ||
| 100 | 1 | |a Berndt, Rolf, |d 1940- | |
| 245 | 1 | 0 | |a Representations of Linear Groups : |b An Introduction Based on Examples from Physics and Number Theory |c Rolf Berndt. |
| 260 | |a Wiesbaden : |b Vieweg : |b Springer e-books. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 500 | |a L'impression du document génère 279 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Prologue: Some Groups and their Actions Basic Algebraic Concepts for Group Representations Representations of Finite Groups Continuous Representations Representations of Compact Groups Representations of Abelian Groups The Infinitesimal Method Induced Representations Geometric Quantization and the Orbit Method Epilogue: Outlook to Number Theory | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This is an elementary introduction to the representation theory of real and complex matrix groups. The text is written for students in mathematics and physics who have a good knowledge of differential/integral calculus and linear algebra and are familiar with basic facts from algebra, number theory and complex analysis. The goal is to present the fundamental concepts of representation theory, to describe the connection between them, and to explain some of their background. The focus is on groups which are of particular interest for applications in physics and number theory (e.g. Gell-Mann's eightfold way and theta functions, automorphic forms). The reader finds a large variety of examples which are presented in detail and from different points of view. The examples motivate the general theory well covered already by the existing literature. Hence for complete proofs of most of the essential statements and theorems the reader is often referred to the standard sources. Plenty of exercises are included in the text. Some of these exercises and/or omitted proofs may give a starting point for a bachelor thesis and further studies in a master program | ||
| 650 | |a Représentations de groupes | ||
| 650 | |a Groupes algébriques linéaires | ||
| 650 | |a Groupes de matrices | ||
| 776 | 0 | |0 127390189 |t Representations of linear groups |o an introduction based on examples from physics and number theory |f Rolf Berndt |c Wiesbaden |n Vieweg |d 2007 |p 1 vol. (VIII-270 p.) |z 978-3-8348-0319-1 | |
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| 856 | 4 | |5 452349901:747878250 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/978-3-8348-9401-4 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750890762 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/978-3-8348-9401-4 |z Accès INSA CVL | |
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