Lie Groups | Beyond an Introduction

Anthony W. Knapp

ISBN 10: 0817642595 / ISBN 13: 9780817642594

Editore: Birkhäuser, 2002

Lie Groups | Beyond an Introduction | Anthony W. Knapp | Buch | xviii | Englisch | 2002 | Birkhäuser | EAN 9780817642594 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. Codice articolo 103262716

Riassunto:

<p>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.</p>

Dalla quarta di copertina: <p><em>Lie Groups Beyond an Introduction</em> 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.</p><p>Topics include a description of all simply connected Lie groups in terms of semisimple Lie groups and semidirect products, the Cartan theory of complex semisimple Lie algebras, the Cartan-Weyl theory of the structure and representations of compact Lie groups and representations of complex semisimple Lie algebras, the classification of real semisimple Lie algebras, the structure theory of noncompact reductive Lie groups as it is now used in research, and integration on reductive groups. Many problems, tables, and bibliographical notes complete this comprehensive work, making the text suitable either for self-study or for courses in the second year of graduate study and beyond. </p>

Dati bibliografici

Titolo: Lie Groups | Beyond an Introduction
Casa editrice: Birkhäuser
Data di pubblicazione: 2002
Legatura: Buch
Condizione: Neu
Edizione: seconda edizione