Unitary Reflection Groups
Book Details
Format
Paperback / Softback
Book Series
Australian Mathematical Society Lecture Series
ISBN-10
0521749891
ISBN-13
9780521749893
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Aug 13th, 2009
Print length
302 Pages
Weight
436 grams
Dimensions
22.70 x 15.30 x 1.60 cms
Product Classification:
Algebra
Ksh 14,600.00
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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.
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.
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