Finite Reflection Groups

Language: English

Published by Springer, Copernicus, 2010

1441930728 / 9781441930729

Series: Book 120 of 180 - Graduate Texts in Mathematics

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Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9781441930729

Title
Finite Reflection Groups
Author
L. C. Grove
Publisher
Springer, Copernicus
Publication year
2010
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
1441930728
ISBN 13
9781441930729
Item weight
293 grams
Dimensions
254x178x9 mm
Series
Book 120 of 180: Graduate Texts in Mathematics

AHA-BUCH GmbH

Einbeck, Germany

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