LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	512.55
Dewey Class	512.482
Title	Representations of Compact Lie Groups ([EBook] /) / by Theodor Bröcker, Tammo tom Dieck.
Author	Bröcker, Theodor
Added Personal Name	Dieck, Tammo tom author.
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1985.
Physical Details	X, 316 p. : online resource.
Series	Graduate texts in mathematics 0072-5285 ; ; 98
ISBN	9783662129180
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-662-12918-0
Links to Related Works	Subject References: Lie groups . Mathematics . Topological groups . Topological groups, Lie groups . Authors: Bröcker, Theodor . Dieck, Tammo tom . Corporate Authors: SpringerLink (Online service) . Series: Graduate texts in mathematics . GTM . Classification: 512.482 . 512.55 .

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Representations of Compact Lie Groups

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