Unitary Reflection Groups: 20 (Australian Mathematical Society Lecture Series, Series Number 20) - Image 1

£59.85

Cambridge University Press Unitary Reflection Groups: 20 (Australian Mathematical Society Lecture Series, Series Number 20)

Name: Unitary Reflection Groups: 20 (Australian Mathematical Society Lecture Series, Series Number 20)
Brand: Cambridge University Press
Price: 59.85 GBP
Availability: InStock

Algebra

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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.

Product Specifications

Brand: Cambridge University Press
Format: paperback
ASIN: 0521749891
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 13 August 2009
Listed Since: 27 October 2008

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Cambridge University Press Unitary Reflection Groups: 20 (Australian Mathematical Society Lecture Series, Series Number 20)

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