| 書目名稱 | Representation Theory | | 副標題 | A First Course | | 編輯 | William Fulton,Joe Harris | | 視頻video | http://file.papertrans.cn/828/827399/827399.mp4 | | 叢書名稱 | Graduate Texts in Mathematics | | 圖書封面 |  | | 描述 | 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 | | 出版日期 | Textbook 2004 | | 關鍵詞 | Abelian group; algebra; cohomology; cohomology group; finite group; group action; homology; Lie algebra; lie | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-0979-9 | | isbn_softcover | 978-0-387-97495-8 | | isbn_ebook | 978-1-4612-0979-9Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer Science+Business Media New York 2004 |
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