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Cover: 9783642057250 | Representations of Compact Lie Groups | T. Tom Dieck (u. a.) | Buch
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Representations of Compact Lie Groups
Taschenbuch von T. Tom Dieck (u. a.)
Sprache: Englisch

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Beschreibung
This book is based on several courses given by the authors since 1966. It introduces the reader to the representation theory of compact Lie groups. We have chosen a geometrical and analytical approach since we feel that this is the easiest way to motivate and establish the theory and to indicate relations to other branches of mathematics. Lie algebras, though mentioned occasionally, are not used in an essential way. The material as well as its presentation are classical; one might say that the foundations were known to Hermann Weyl at least 50 years ago. Prerequisites to the book are standard linear algebra and analysis, including Stokes' theorem for manifolds. The book can be read by German students in their third year, or by first-year graduate students in the United States. Generally speaking the book should be useful for mathematicians with geometric interests and, we hope, for physicists. At the end of each section the reader will find a set of exercises. These vary in character:Some ask the reader to verify statements used in the text, some contain additional information, and some present examples and counter­ examples. We advise the reader at least to read through the exercises.
This book is based on several courses given by the authors since 1966. It introduces the reader to the representation theory of compact Lie groups. We have chosen a geometrical and analytical approach since we feel that this is the easiest way to motivate and establish the theory and to indicate relations to other branches of mathematics. Lie algebras, though mentioned occasionally, are not used in an essential way. The material as well as its presentation are classical; one might say that the foundations were known to Hermann Weyl at least 50 years ago. Prerequisites to the book are standard linear algebra and analysis, including Stokes' theorem for manifolds. The book can be read by German students in their third year, or by first-year graduate students in the United States. Generally speaking the book should be useful for mathematicians with geometric interests and, we hope, for physicists. At the end of each section the reader will find a set of exercises. These vary in character:Some ask the reader to verify statements used in the text, some contain additional information, and some present examples and counter­ examples. We advise the reader at least to read through the exercises.
Zusammenfassung
Corrected 2nd printing
Inhaltsverzeichnis
I Lie Groups and Lie Algebras.- II Elementary Representation Theory.- III Representative Functions.- IV The Maximal Torus of a Compact Lie Group.- V Root Systems.- VI Irreducible Characters and Weights.- Symbol Index.
Details
Erscheinungsjahr: 2010
Fachbereich: Arithmetik & Algebra
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: x
316 S.
24 s/w Illustr.
ISBN-13: 9783642057250
ISBN-10: 364205725X
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Dieck, T. Tom
Bröcker, T.
Auflage: Softcover reprint of hardcover 1st edition 1985
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 19 mm
Von/Mit: T. Tom Dieck (u. a.)
Erscheinungsdatum: 19.10.2010
Gewicht: 0,505 kg
Artikel-ID: 107108259
Zusammenfassung
Corrected 2nd printing
Inhaltsverzeichnis
I Lie Groups and Lie Algebras.- II Elementary Representation Theory.- III Representative Functions.- IV The Maximal Torus of a Compact Lie Group.- V Root Systems.- VI Irreducible Characters and Weights.- Symbol Index.
Details
Erscheinungsjahr: 2010
Fachbereich: Arithmetik & Algebra
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: x
316 S.
24 s/w Illustr.
ISBN-13: 9783642057250
ISBN-10: 364205725X
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Dieck, T. Tom
Bröcker, T.
Auflage: Softcover reprint of hardcover 1st edition 1985
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 19 mm
Von/Mit: T. Tom Dieck (u. a.)
Erscheinungsdatum: 19.10.2010
Gewicht: 0,505 kg
Artikel-ID: 107108259
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