Unitary Reflection Groups (Paperback)

Language: English

Published by Cambridge University Press, Cambridge, 2009

0521749891 / 9780521749893

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Paperback. 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. This book provides a complete classification of unitary reflection groups which arise naturally in many areas of mathematics. Designed for graduate students, but also suitable for researchers in algebra, topology and mathematical physics. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…

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Title
Unitary Reflection Groups (Paperback)
Author
Gustav I. Lehrer
Publisher
Cambridge University Press, Cambridge
Publication year
2009
Condition
new
Binding
Paperback
Language
English
ISBN 10
0521749891
ISBN 13
9780521749893

CitiRetail

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