Linear Representations of Groups: Translated from the Russian by A. Iacob: Modern Birkhäuser Classics
Autor Ernest B. Vinbergen Limba Engleză Paperback – 2 dec 2010
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Specificații
ISBN-13: 9783034800624
ISBN-10: 3034800622
Pagini: 146
Ilustrații: VI, 146 p.
Dimensiuni: 155 x 235 x 20 mm
Greutate: 0.23 kg
Ediția:1st ed. 1989. 2nd printing 2010
Editura: Springer
Colecția Birkhäuser
Seria Modern Birkhäuser Classics
Locul publicării:Basel, Switzerland
ISBN-10: 3034800622
Pagini: 146
Ilustrații: VI, 146 p.
Dimensiuni: 155 x 235 x 20 mm
Greutate: 0.23 kg
Ediția:1st ed. 1989. 2nd printing 2010
Editura: Springer
Colecția Birkhäuser
Seria Modern Birkhäuser Classics
Locul publicării:Basel, Switzerland
Public țintă
ResearchCuprins
General Properties of Representations.- Representations of Finite Groups.- Representations of Compact Groups.- Representations of Lie Groups.- Appendices.
Recenzii
From the reviews:
“Vinberg’s book should be seen as preliminary to far more ambitious and weighty texts … . It takes the reader from raw basics, done very nicely, through the obligatory discussion of the regular representation … to some excellent stuff on SU2 and SO3, with a discussion of Laplace’s spherical functions thrown in. The presence of a huge number of guiding examples is a major asset … as is the large collection of exercises for the reader. It is indeed a marvelous introduction to representation theory!” (Michael Berg, The Mathematical Association of America, February, 2011)
“Vinberg’s book should be seen as preliminary to far more ambitious and weighty texts … . It takes the reader from raw basics, done very nicely, through the obligatory discussion of the regular representation … to some excellent stuff on SU2 and SO3, with a discussion of Laplace’s spherical functions thrown in. The presence of a huge number of guiding examples is a major asset … as is the large collection of exercises for the reader. It is indeed a marvelous introduction to representation theory!” (Michael Berg, The Mathematical Association of America, February, 2011)
Notă biografică
Ernest B. Vinberg is a Professor of mathematics at the Moscow University.
Textul de pe ultima copertă
This textbook contains a comprehensive and detailed exposition of the fundamentals of the representation theory of groups, especially of finite groups and compact groups. The exposition is based on the decomposition of the two-sided regular representation. This enables the author to give not only an abstract description of the representations but also their realizations in function spaces, which is important for physical applications. As an example, the theory of Laplace spherical functions is treated. Some basic ideas of the representation theory of Lie groups are also given, as well as all the representations of the groups SU2 and SO3. The book contains numerous examples and exercises, some with solutions.
------ Reviews
This book is a short modern introduction to representation theory of groups. (…) Basic examples and exercises enable the reader to change over to explicit calculations.
- Zentralblatt MATH
This is a short and very readable introduction to finite-dimensional representation theory. A preliminary chapter gives the general flavor of the theory describing many examples and emphasizing the “harmonic analysis” aspects. (…) There are many exercises in the text; at the end of the book there is a list of some answers and solutions. (…) Even though the book is very short, its exposition is clear and unhurried. By concentrating on essential matters the author succeeds in getting across many of the fundamental ideas of the theory.
- Mathematical Reviews
------ Reviews
This book is a short modern introduction to representation theory of groups. (…) Basic examples and exercises enable the reader to change over to explicit calculations.
- Zentralblatt MATH
This is a short and very readable introduction to finite-dimensional representation theory. A preliminary chapter gives the general flavor of the theory describing many examples and emphasizing the “harmonic analysis” aspects. (…) There are many exercises in the text; at the end of the book there is a list of some answers and solutions. (…) Even though the book is very short, its exposition is clear and unhurried. By concentrating on essential matters the author succeeds in getting across many of the fundamental ideas of the theory.
- Mathematical Reviews
Caracteristici
Brief, modern and very readable introduction to representation theory of groups Clear and concentrating on the essentials Provides numerous examples and exercises, some with solutions Includes supplementary material: sn.pub/extras