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
Autor principal: Berndt, Rolf. author (author)
Formato: Libro electrónico
Idioma:Inglés
Publicado: Wiesbaden : Vieweg+Teubner Verlag 2007.
Edición:1st ed. 2007.
Materias:
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009462062006719
Tabla de Contenidos:
  • 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.