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Unitary Reflection Groups by Gustav I Lehrer
Unitary Reflection Groups by Gustav I Lehrer
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Unitary Reflection Groups

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Description

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.

Author Biography:

Gustav I. Lehrer is a Professor in the School of Mathematics and Statistics at the University of Sydney. Donald E. Taylor is an Associate Professor in the School of Mathematics and Statistics at the University of Sydney.
Release date Australia
August 13th, 2009
Audience
  • Professional & Vocational
Illustrations
Worked examples or Exercises; 12 Tables, unspecified
Pages
302
Dimensions
152x228x16
ISBN-13
9780521749893
Product ID
3664675

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