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Unitary Reflection Groups (Paperback)

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Product Overview

A complex reflection is a linear transformation which fixes each point in a hyperplane. Intuitively, it resembles the transformation an image undergoes when it is viewed through a kaleidoscope, or arrangement of mirrors. This book gives a complete classification of all groups of transformations of n-dimensional complex space which are generated by complex reflections, using the method of line systems. In particular: irreducible groups are studied in detail, and are identified with finite linear groups; reflection subgroups of reflection groups are completely classified; the theory of eigenspaces of elements of reflection groups is discussed fully; an appendix outlines links to representation theory, topology and mathematical physics. Containing over 100 exercises ranging in difficulty from elementary to research level, this book is ideal for honors and graduate students, or for researchers in algebra, topology and mathematical physics.

Specifications

Publisher Cambridge Univ Pr
Mfg Part# 9780521749893
SKU 210796566
Format Paperback
ISBN10 0521749891
Release Date 5/14/2012
Product Attributes
eBooks Kobo
Book Format Paperback
Number of Pages 0294
Publisher Cambridge University Press
Series Part 20
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