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Unitary Reflection Groups
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Unitary Reflection Groups Paperback - 2009 - 1st Edition

by Gustav I. Lehrer; Donald E. Taylor

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From the publisher

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.

Details

  • Title Unitary Reflection Groups
  • Author Gustav I. Lehrer; Donald E. Taylor
  • Binding Paperback
  • Edition number 1st
  • Edition 1
  • Pages 302
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press
  • Publication date 2009-08-13
  • Features Bibliography, Index, Table of Contents
  • ISBN 9780521749893 / 0521749891
  • Weight 1 lbs (0.45 kg)
  • Dimensions 8.9 x 6 x 0.7 in (22.61 x 15.24 x 1.78 cm)
  • Category Mathematics
  • Library of Congress subjects Group theory, Reflections
  • Library of Congress Catalogue Number 2008056031
  • Dewey Decimal Code 512.2
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Unitary Reflection Groups (Australian Mathematical Society Lecture Series, Series Number 20)

Unitary Reflection Groups (Australian Mathematical Society Lecture Series, Series Number 20)

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Unitary Reflection Groups (Australian Mathematical Society Lecture Series, Series Number 20)

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Unitary Reflection Groups (Australian Mathematical Society Lecture Series, Series Number 20)

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Unitary Reflection Groups (Australian Mathematical Society Lecture Series, Series Number 20)
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Unitary Reflection Groups (Australian Mathematical Society Lecture Series, Series Number 20)

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Unitary Reflection Groups

by Gustav I. Lehrer

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Paperback. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; 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 ph
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Unitary Reflection Groups (Australian Mathematical Society Lecture Series, Series Number 20)
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Unitary Reflection Groups (Australian Mathematical Society Lecture Series, Series Number 20)

by Lehrer, Gustav I

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