Unitary Reflection Groups (BOK)

Gustav I. Lehrer, Donald M. Taylor

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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.

Produktfakta

Språk Engelsk Engelsk Innbinding Heftet
Utgitt 2009 Forfatter Donald M. Taylor, Gustav I. Lehrer
Forlag
CAMBRIDGE UNIVERSITY PRESS
ISBN 9780521749893
Antall sider 302 Dimensjoner 15,2cm x 22,8cm x 1,6cm
Vekt 440 gram Leverandør Bertram Trading Ltd
Emner og form Algebra

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