Finite Reflection Groups - Graduate Texts in Mathematics - L.c. Grove - 書籍 - Springer-Verlag New York Inc. - 9780387960821 - 1985年2月11日
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L.c. Grove
Finite Reflection Groups - Graduate Texts in Mathematics 2nd Ed. Corr. 2nd Printing 1996 edition

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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 for finite reflection groups are discussed in Chapter 6. There are historical remarks and suggestions for further reading in a Post lude.

136 pages, biography

メディア 書籍     Hardcover Book   (ハードカバー付きの本)
リリース済み 1985年2月11日
発売日 1996
ISBN13 9780387960821
出版社 Springer-Verlag New York Inc.
ページ数 136
寸法 178 × 254 × 11 mm   ·   480 g
言語 英語  

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