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Representation Theory: A First Course (Graduate Texts in Mathematics / Readings in Mathematics)
by William Fulton ; Joe Harris
Binding: Paperback, Corrected edition, 566 pages
Publisher: Springer
Weight: 1.68 pound
Dimension: H: 0.75 x L: 9.21 x W: 0.5 inches
ISBN 10: 0387974954
ISBN 13: 9780387974958
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Book Description:
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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