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Item Details
| Title:
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UNITARY REFLECTION GROUPS
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| By: |
Gustav I. Lehrer, Donald E. Taylor |
| Format: |
Paperback |
| List price:
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£81.00 |
| Our price: |
£70.88 |
| Discount: |
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| You save:
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£10.12 |
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| ISBN 10: |
0521749891 |
| ISBN 13: |
9780521749893 |
| Availability: |
Usually dispatched within 1-3 weeks.
 Delivery
rates
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| Stock: |
Currently 0 available |
| Publisher: |
CAMBRIDGE UNIVERSITY PRESS |
| Pub. date: |
1 August, 2009 |
| Series: |
Australian Mathematical Society Lecture Series 20 |
| Pages: |
302 |
| Description: |
A complete and clear account of the classification of unitary reflection groups, which arise naturally in many areas of mathematics. |
| Synopsis: |
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. |
| Illustrations: |
12 tables 110 exercises |
| Publication: |
UK |
| Imprint: |
Cambridge University Press |
| Returns: |
Returnable |
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