E-Book, Englisch, Band 140, 608 Seiten, eBook
Reihe: Progress in Mathematics
Knapp Lie Groups Beyond an Introduction
1996
ISBN: 978-1-4757-2453-0
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 140, 608 Seiten, eBook
Reihe: Progress in Mathematics
ISBN: 978-1-4757-2453-0
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
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. A feature of the presentation is that it encourages the reader's comprehension of Lie group theory to evolve from beginner to expert: initial insights make use of actual matrices, while later insights come from such structural features as properties of root systems, or relationships among subgroups, or patterns among different subgroups.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
Preface * Prerequisites by chapter * Standard Notation * I. Lie Algebras and Lie Groups * II. Complex Semisimple Lie Algebras * III. Universal Enveloping Algebra * IV. Compact Lie Groups * V. Finite-Dimensional Representations * VI. Structure Theory of Semisimple Groups * VII. Advanced Structure Theory * VIII. Integration * IX. Induced Representations and Branching Theorems * X. Prehomogeneous Vector Spaces * Appendices * Hints for Solutions of Problems * Notes * References * Index of Notation * Index
