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Cover: 9780817642594 | Lie Groups | Beyond an Introduction | Anthony W. Knapp | Buch | XVIII
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Lie Groups
Beyond an Introduction
Buch von Anthony W. Knapp
Sprache: Englisch

128,39 €*

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Beschreibung
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.
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.
Zusammenfassung
"Lie Groups Beyond an Introduction, Second Edition", 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. New to the second edition, apart from revisions and updates throughout, are chapters on branching theorems and prehomogeneous vector spaces, topics of interest to mathematicians and physicists alike.
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
Details
Erscheinungsjahr: 2002
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Progress in Mathematics
Inhalt: xviii
812 S.
8 s/w Illustr.
812 p. 8 illus.
ISBN-13: 9780817642594
ISBN-10: 0817642595
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Knapp, Anthony W.
Auflage: 2nd ed. 2002
Hersteller: Birkh„user Boston
Birkhäuser Boston
Progress in Mathematics
Maße: 241 x 160 x 49 mm
Von/Mit: Anthony W. Knapp
Erscheinungsdatum: 21.08.2002
Gewicht: 1,402 kg
Artikel-ID: 103262716
Zusammenfassung
"Lie Groups Beyond an Introduction, Second Edition", 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. New to the second edition, apart from revisions and updates throughout, are chapters on branching theorems and prehomogeneous vector spaces, topics of interest to mathematicians and physicists alike.
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
Details
Erscheinungsjahr: 2002
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Progress in Mathematics
Inhalt: xviii
812 S.
8 s/w Illustr.
812 p. 8 illus.
ISBN-13: 9780817642594
ISBN-10: 0817642595
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Knapp, Anthony W.
Auflage: 2nd ed. 2002
Hersteller: Birkh„user Boston
Birkhäuser Boston
Progress in Mathematics
Maße: 241 x 160 x 49 mm
Von/Mit: Anthony W. Knapp
Erscheinungsdatum: 21.08.2002
Gewicht: 1,402 kg
Artikel-ID: 103262716
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