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OverviewRepresentation 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. Full Product DetailsAuthor: Emmanuel KowalskiPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: 155 Weight: 0.911kg ISBN: 9781470409661ISBN 10: 1470409666 Pages: 432 Publication Date: 30 September 2014 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsIt 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 oIt is a good book: itAEs 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.o -- MAA Author InformationEmmanuel Kowalski, ETH, Zurich, Switzerland Tab Content 6Author Website:Countries AvailableAll regions |
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