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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Hlavní autor: Berndt, Rolf, 1940-
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Wiesbaden : Vieweg : Springer e-books [20..].
Cham : Springer Nature
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Poznámka: L'impression du document génère 279 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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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
Obsah:
  • 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