Description: The primary goal of these lectures is to introduce a beginner to the finiteĀ 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.
Price: 77.25 USD
Location: Hillsdale, NSW
End Time: 2024-12-06T23:45:00.000Z
Shipping Cost: 0 USD
Product Images
Item Specifics
Return shipping will be paid by: Buyer
All returns accepted: Returns Accepted
Item must be returned within: 60 Days
Refund will be given as: Money back or replacement (buyer's choice)
Return policy details:
EAN: 9780387974958
UPC: 9780387974958
ISBN: 9780387974958
MPN: N/A
Number of Pages: Xv, 551 Pages
Publication Name: Representation Theory : a First Course
Language: English
Publisher: Springer New York
Item Height: 0.4 in
Subject: Group Theory, Algebra / Abstract, Algebra / General, Topology
Publication Year: 1991
Item Weight: 61.4 Oz
Type: Textbook
Author: William Fulton, Joe Harris
Subject Area: Mathematics
Item Length: 9.3 in
Item Width: 6.1 in
Series: Graduate Texts in Mathematics Ser.
Format: Trade Paperback