ENGLISH

Representation Theory: A First Course

By William Fulton , Joe Harris

Book information

Publisher
Springer
Year
1991
ISBN
9780387974958, 0387974954
LCC
QA171 .F85 1991
Open Library ID
OL1866793M
Language
english
Format
DJVU
Filesize
6 MB (6265544 bytes)
Series
Graduate Texts in Mathematics / Readings in Mathematics
Edition
Corrected
Pages
285\0
Topic
Mathematics Algebra
Time added
2010-04-25 21:59:20

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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