
An Introduction to the Representation Theory of Groups
Emmanuel Kowalski(Author)
American Mathematical Society (Publisher)
Published on 30. September 2014
Book
Hardback
432 pages
978-1-4704-0966-1 (ISBN)
Shipment within 10-20 days
Description
Representation theory is an important part of modern mathematics, not only as a subject in its own right but also as a tool for many applications. It provides a means for exploiting symmetry, making it particularly useful in number theory, algebraic geometry, and differential geometry, as well as classical and modern physics.
The goal of this book is to present, in a motivated manner, the basic formalism of representation theory as well as some important applications. The style is intended to allow the reader to gain access to the insights and ideas of representation theory--not only to verify that a certain result is true, but also to explain why it is important and why the proof is natural.
The presentation emphasizes the fact that the ideas of representation theory appear, sometimes in slightly different ways, in many contexts. Thus the book discusses in some detail the fundamental notions of representation theory for arbitrary groups. It then considers the special case of complex representations of finite groups and discusses the representations of compact groups, in both cases with some important applications. There is a short introduction to algebraic groups as well as an introduction to unitary representations of some noncompact groups.
The text includes many exercises and examples.
The goal of this book is to present, in a motivated manner, the basic formalism of representation theory as well as some important applications. The style is intended to allow the reader to gain access to the insights and ideas of representation theory--not only to verify that a certain result is true, but also to explain why it is important and why the proof is natural.
The presentation emphasizes the fact that the ideas of representation theory appear, sometimes in slightly different ways, in many contexts. Thus the book discusses in some detail the fundamental notions of representation theory for arbitrary groups. It then considers the special case of complex representations of finite groups and discusses the representations of compact groups, in both cases with some important applications. There is a short introduction to algebraic groups as well as an introduction to unitary representations of some noncompact groups.
The text includes many exercises and examples.
Reviews / Votes
It is a good book: it's very useful and well-written. What with exercises scattered throughout, as well as examples and to-the-point remarks, it was clearly crafted with the student in mind." - MAA ReviewsMore details
Series
Language
English
Place of publication
Providence
United States
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
911 gr
ISBN-13
978-1-4704-0966-1 (9781470409661)
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Emmanuel Kowalski
An Introduction to the Representation Theory of Groups
Book
08/2014
American Mathematical Society
€117.80
Article not available at the moment
Person
Emmanuel Kowalski, ETH, Zurich, Switzerland
Content
Introduction and motivation
The language of representation theory Variants
Linear representations of finite groups
Abstract representation theory of compact groups
Applications of representations of compact groups Other groups: a few examples
Some useful facts
Bibliography
Index
The language of representation theory Variants
Linear representations of finite groups
Abstract representation theory of compact groups
Applications of representations of compact groups Other groups: a few examples
Some useful facts
Bibliography
Index