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Unitary Reflection Groups by Gustav I. Lehrer, Donald E. Taylor

Unitary Reflection Groups

by Gustav I. Lehrer , Donald E. Taylor
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Book cover type: Paperback
  • ISBN13: 9780521749893
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date:
  • Pages: 302
  • Original Price: GBP 85.0
  • Language: English
  • Edition: 1
  • Item Weight: 454 grams
  • BISAC Subject(s): Algebra / General

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.

Lehrer, Gustav I.: - Gustav I. Lehrer is a Professor in the School of Mathematics and Statistics at the University of Sydney.

Taylor, Donald E.: - Donald E. Taylor is an Associate Professor in the School of Mathematics and Statistics at the University of Sydney.

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