000 | 03063nam a22004815i 4500 | ||
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001 | 978-3-8348-9401-4 | ||
003 | DE-He213 | ||
005 | 20161121231133.0 | ||
007 | cr nn 008mamaa | ||
008 | 100301s2007 gw | s |||| 0|eng d | ||
020 |
_a9783834894014 _9978-3-8348-9401-4 |
||
024 | 7 |
_a10.1007/978-3-8348-9401-4 _2doi |
|
050 | 4 | _aQA184-205 | |
072 | 7 |
_aPBF _2bicssc |
|
072 | 7 |
_aMAT002050 _2bisacsh |
|
082 | 0 | 4 |
_a512.5 _223 |
100 | 1 |
_aBerndt, Rolf. _eauthor. |
|
245 | 1 | 0 |
_aRepresentations of Linear Groups _h[electronic resource] : _bAn Introduction Based on Examples from Physics and Number Theory / _cby Rolf Berndt. |
264 | 1 |
_aWiesbaden : _bVieweg, _c2007. |
|
300 |
_aXII, 271 p. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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505 | 0 | _aPrologue: 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 | _aThis 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 | _aMathematics. | |
650 | 0 | _aAlgebra. | |
650 | 0 | _aGroup theory. | |
650 | 0 | _aMatrix theory. | |
650 | 0 | _aNumber theory. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aLinear and Multilinear Algebras, Matrix Theory. |
650 | 2 | 4 | _aAlgebra. |
650 | 2 | 4 | _aNumber Theory. |
650 | 2 | 4 | _aGroup Theory and Generalizations. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783834803191 |
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-8348-9401-4 |
912 | _aZDB-2-SMA | ||
950 | _aMathematics and Statistics (Springer-11649) | ||
999 |
_c509122 _d509122 |