| 書目名稱 | Finite Reflection Groups | | 編輯 | L. C. Grove,C. T. Benson | | 視頻video | http://file.papertrans.cn/344/343646/343646.mp4 | | 叢書名稱 | Graduate Texts in Mathematics | | 圖書封面 |  | | 描述 | Chapter 1 introduces some of the terminology and notation used later and indicates prerequisites. Chapter 2 gives a reasonably thorough account of all finite subgroups of the orthogonal groups in two and three dimensions. The presentation is somewhat less formal than in succeeding chapters. For instance, the existence of the icosahedron is accepted as an empirical fact, and no formal proof of existence is included. Throughout most of Chapter 2 we do not distinguish between groups that are "geo- metrically indistinguishable," that is, conjugate in the orthogonal group. Very little of the material in Chapter 2 is actually required for the sub- sequent chapters, but it serves two important purposes: It aids in the development of geometrical insight, and it serves as a source of illustrative examples. There is a discussion offundamental regions in Chapter 3. Chapter 4 provides a correspondence between fundamental reflections and funda- mental regions via a discussion of root systems. The actual classification and construction of finite reflection groups takes place in Chapter 5. where we have in part followed the methods of E. Witt and B. L. van der Waerden. Generators and relations fo | | 出版日期 | Textbook 1985Latest edition | | 關(guān)鍵詞 | Finite; Groups; Invariant; Point group; boundary element method; classification; construction; development; | | 版次 | 2 | | doi | https://doi.org/10.1007/978-1-4757-1869-0 | | isbn_softcover | 978-1-4419-3072-9 | | isbn_ebook | 978-1-4757-1869-0Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer-Verlag New York 1985 |
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