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Representation Theory: A First Course

Door William Fulton e.a.

Categorie
Algemeen wetenschap
Boeknummer
#342270-ZA24
Titel
Representation Theory: A First Course
Auteur
Fulton, William & Joe Harris
Boektype
Gebonden hardcover
Uitgeverij
New York : Springer-Verlag
Jaar van uitgave
1991
ISBN10
0387975276
ISBN13
9780387975276
Taal
Engels
Beschrijving
Original boards, illustrated with numerous equations, graphs and diagrams, 8vo. Graduate Texts in Mathematics, 129.
Samenvatting
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. ... (Lees verder), 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.
Pagina's
541
Conditie
Goed — Spine slightly discoloured, name in pen on title page.
Prijs
€ 50,00

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