Representation Theory: A First Course (2004)

William Fulton (Author) Joe Harris (Author)
Available

Description

The primary goal of these lectures is to introduce a beginner to the finite- dimensional representations of Lie groups and Lie algebras. Since this goal is shared by quite a few other books, we should explain in this Preface how our approach differs, although the potential reader can probably see this better by a quick browse through the book. Representation theory is simple to define: it is the study of the ways in which a given group may act on vector spaces. It is almost certainly unique, however, among such clearly delineated subjects, in the breadth of its interest to mathematicians. This is not surprising: group actions are ubiquitous in 20th century mathematics, and where the object on which a group acts is not a vector space, we have learned to replace it by one that is {e. g., a cohomology group, tangent space, etc. }. As a consequence, many mathematicians other than specialists in the field {or even those who think they might want to be} come in contact with the subject in various ways. It is for such people that this text is designed. To put it another way, we intend this as a book for beginners to learn from and not as a reference. This idea essentially determines the choice of material covered here. As simple as is the definition of representation theory given above, it fragments considerably when we try to get more specific.

Product Details

Price
$109.99
Publisher
Springer
Publish Date
October 22, 1991
Pages
551
Dimensions
6.14 X 1.25 X 9.21 inches | 2.13 pounds
Language
English
Type
Hardcover
EAN/UPC
9780387975276
BISAC Categories:

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About the Author

William Fulton is president of Solimar Research Group, Inc., in Ventura, California and editor of the monthly newsletter the California Planning and Development Report. He is the author of three other books including theGuide to California Planning (Solano Press, 1991), and The Reluctant Metropolis (Solano Press, 1997).