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Representation Theory: A First Course (Graduate Texts in Mathematics / Readings in Mathematics)

Posted on 2010-04-15




Name:Representation Theory: A First Course (Graduate Texts in Mathematics / Readings in Mathematics)
ASIN/ISBN:0387974954
Author:William Fulton, Joe Harris
Publisher:Springer (1999)
Pages:Paperback, 551 pages
File size:1.7 Mb
   Representation Theory: A First Course (Graduate Texts in Mathematics / Readings in Mathematics)

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Author: William Fulton, Joe Harris


Publisher: Springer (1999)


Binding: Paperback, 551 pages


pricer: $54.95


ISBN-10: 0387974954


editorialreviews

The primary goal of these lectures is to introduce the beginner to the finite-dimensional representations of Lie groups and Lie algebras. Intended to serve non-specialists, the concentration of the text is on examples. The general theory is developed sparingly, and then mainly as a useful and unifying language to describe phenomena already encountered in concrete cases. The book begins with a brief tour through representation theory of finite groups, with emphasis determined by what is useful for Lie Groups; in particular, the symmetric groups are treated in some detail. The focus then turns to Lie groups and Lie Algebras and finally to the heart of the course: working out the finite dimensional representations of the classical groups and exploring the related geometry. The goal of the last portion of the book is to make a bridge between the example-oriented approach of the earlier parts and the general theory.




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