| DC Field | Value | Language |
|---|
| dc.contributor.author | Fulton, William | - |
| dc.date.accessioned | 2021-04-19T04:01:36Z | - |
| dc.date.available | 2021-04-19T04:01:36Z | - |
| dc.date.issued | 1991 | - |
| dc.identifier.isbn | 978-0-387-97495-8 | - |
| dc.identifier.uri | http://localhost:8080/xmlui/handle/123456789/55 | - |
| dc.description | We have not tried to trace the history of the subjects treated, or assign
credit, or to attribute ideas to original sources-this is far beyond our knowl-
edge. When we give references, we have simply tried to send the reader to
sources that are as readable as possible for one knowing what is written here.
A good systematic reference for the finite-group material, including proofs of
the results we leave out, is Serre [Se2]. For Lie groups and Lie algebras,
Serre [Se3], Adams [Ad], Humphreys [Hut], and Bourbaki [Bour] are
recommended references, as are the classics Weyl [WeI] and Littlewood
[Litt].
We would like to thank the many people who have contributed ideas and
suggestions for this manuscript, among them J-F. Burnol, R. Bryant, J. Carrell,
B. Conrad, P. Diaconis, D. Eisenbud, D. Goldstein, M. Green, P. Griffiths,
B. Gross, M. Hildebrand, R. Howe, H. Kraft, A. Landman, B. Mazur,
N. Chriss, D. Petersen, G. Schwartz, J. Towber, and L. Tu. In particular, we
would like to thank David Mumford, from whom we learned much of what
we know about the subject, and whose ideas are very much in evidence in this
book.
Had this book been written 10 years ago, we would at this point thank the
people who typed it. That being no longer applicable, perhaps we should
thank instead the National Science Foundation, the University of Chicago,
and Harvard University for generously providing the various Macintoshes on
which this manuscript was produced. Finally, we thank Chan Fulton for
making the drawings. | en_US |
| dc.description.abstract | 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. | en_US |
| dc.publisher | Springer | en_US |
| dc.subject | Mathematics | en_US |
| dc.subject | Representation Theory | en_US |
| dc.title | Representation Theory | en_US |
| dc.title.alternative | A First Course | en_US |
| dc.type | Book | en_US |
| Appears in Collections: | ARTS & SCIENCE
|
