Unitary Reflection Groups
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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 honours and graduate students, or for researchers in algebra, topology and mathematical physics.
Format:Paperback
Language:English
ISBN:0521749891
ISBN13:9780521749893
Release Date:August 2009
Publisher:Cambridge University Press
Length:302 Pages
Weight:1.00 lbs.
Dimensions:0.7" x 6.0" x 8.9"
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