Abstract
A root system is a reformulation, in terms of linear algebra, of the concept of a finite Euclidean reflection group. More exactly, it is a translation into linear algebra of the geometric configuration formed by the reflecting hyperplanes associated with a reflection group. This reformulation is extremely important. The use of linear algebra enables us to analyze finite reflection groups with great efficiency. All of Chapters 2, 3, 4 and 6 will be devoted to the justification of this remark.
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© 2001 Springer Science+Business Media New York
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Kane, R., Borwein, J., Borwein, P. (2001). Root systems. 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_3
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DOI: https://doi.org/10.1007/978-1-4757-3542-0_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3194-8
Online ISBN: 978-1-4757-3542-0
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