Abstract
The concept of a reflection group is easy to explain. A reflection in Euclidean space is a linear transformation of the space that fixes a hyperplane while sending its orthogonal vectors to their negatives. A reflection group is, then, any group of transformations generated by such reflections. The purpose of this book is to study such groups and their associated invariant theory, outlining the deep and elegant theory that they possess.
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© 2001 Springer Science+Business Media New York
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Kane, R., Borwein, J., Borwein, P. (2001). Introduction: Reflection groups and invariant theory. In: Borwein, J., Borwein, P. (eds) Reflection Groups and Invariant Theory. CMS Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3542-0_1
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DOI: https://doi.org/10.1007/978-1-4757-3542-0_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3194-8
Online ISBN: 978-1-4757-3542-0
eBook Packages: Springer Book Archive