An Introduction to the Representation Theory of Groups is popular PDF and ePub book, written by Emmanuel Kowalski in 2014-08-28, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, An Introduction to the Representation Theory of Groups can be Read Online from any device for your convenience.
An Introduction to the Representation Theory of Groups Book PDF Summary
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.
Detail Book of An Introduction to the Representation Theory of Groups PDF
- Author : Emmanuel Kowalski
- Release : 28 August 2014
- Publisher : American Mathematical Society
- ISBN : 9781470409661
- Genre : Mathematics
- Total Page : 442 pages
- Language : English
- PDF File Size : 7,6 Mb
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