Lie Groups

Beyond an Introduction
2. Auflage 2002
ISBN: 978-0-8176-4259-4
Verlag: Birkhäuser Boston

Buch, Englisch, Band 140, 812 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1402 g

Reihe: Progress in Mathematics

This book takes the reader from the end of introductory Lie group theory to the threshold of infinite-dimensional group representations. Merging algebra and analysis throughout, the author uses Lie-theoretic methods to develop a beautiful theory having wide applications in mathematics and physics. The book initially shares insights that make use of actual matrices; it later relies on such structural features as properties of root systems.

Zielgruppe

Research

Autoren/Hrsg.

Knapp, Anthony W.

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
• Mathematik | Informatik Mathematik Algebra Elementare Algebra
• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Naturwissenschaften Physik Physik Allgemein Experimentalphysik
• Naturwissenschaften Physik Physik Allgemein Geschichte der Physik

Inhaltsverzeichnis

Preface to the Second Edition * Preface to the First Edition * List of Figures * Prerequisites by Chapter * Standard Notation * Introduction: Closed Linear Groups * Lie Algebras and Lie Groups * Complex Semisimple Lie Algebras * Universal Enveloping Algebra * Compact Lie Groups * Finite-Dimensional Representations * Structure Theory of Semisimple Groups * Advanced Structure Theory * Integration * Induced Representations and Branching Theorems * Prehomogeneous Vector Spaces * Appendices * Hints for Solutions of Problems * Historical Notes * References * Index of Notation * Index