Representation Theory: A First Course (Graduate Texts in Mathematics) Representation theory is simple to define: it is the study of the ways in which a given group may act on vector spaces.The primary goal of these lectures is to introduce a beginner to the finite dimensional representations of Lie groups and Lie algebras. As a consequence, many mathematicians o
| Title | : | Representation Theory: A First Course (Graduate Texts in Mathematics) |
| Author | : | |
| Rating | : | 4.66 (378 Votes) |
| Asin | : | 0387974954 |
| Format Type | : | Paperback |
| Number of Pages | : | 551 Pages |
| Publish Date | : | 2013-10-04 |
| Genre | : |
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
Editorial : "displays a novel approach to its subject matter genuinely informative skillfully worked and interspersed with novel observations" -- BULLETIN OF THE IRISH MATHEMATICAL SOCIETY
"this textbook is an outstanding example of didactic mastery, and it serves the purpose of the series ‘Readings in Mathematics’ in a perfect manner." -- ZENTRALBLATT MATH
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