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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Berndt, Rolf (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Wiesbaden : Vieweg+Teubner Verlag : Imprint: Vieweg+Teubner Verlag, 2007.
Edición:1st ed. 2007.
Temas:
Algebras, Linear.
Algebra.
Number theory.
Group theory.
Linear Algebra.
Number Theory.
Group Theory and Generalizations.
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Representations of Linear Groups  |h [electronic resource] :  |b An Introduction Based on Examples from Physics and Number Theory /  |c by Rolf Berndt. 
250 |a 1st ed. 2007. 
264 1 |a Wiesbaden :  |b Vieweg+Teubner Verlag :  |b Imprint: Vieweg+Teubner Verlag,  |c 2007. 
300 |a XII, 271 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
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505 0 |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. 
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 0 |a Algebras, Linear. 
650 0 |a Algebra. 
650 0 |a Number theory. 
650 0 |a Group theory. 
650 1 4 |a Linear Algebra. 
650 2 4 |a Algebra. 
650 2 4 |a Number Theory. 
650 2 4 |a Group Theory and Generalizations. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783834803191 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-8348-9401-4  |z Texto Completo 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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