Product Information
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 Identifiers
PublisherSpringer-Verlag New York Inc.
ISBN-139780387975276
eBay Product ID (ePID)201826131
Product Key Features
Number of Pages551 Pages
LanguageEnglish
Publication NameRepresentation Theory: a First Course
Publication Year1991
SubjectMathematics
TypeTextbook
AuthorWilliam Fulton, Joe Harris
SeriesReadings in Mathematics
Dimensions
Item Height235 mm
Item Weight1010 g
Item Width155 mm
Volume129
Additional Product Features
Country/Region of ManufactureUnited States
Title_AuthorWilliam Fulton, Joe Harris