Abstract
During the study of finite reflection groups in the first eight chapters of the book, we analyzed, in great depth, how elements of W can be decomposed using fundamental reflections. In this chapter, we take a slightly different approach based on the work of Carter [2]. We shall study decompositions of elements of W involving arbitrary reflections from W. These decompositions have the double advantage of being simpler and still containing valuable information.
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© 2001 Springer Science+Business Media New York
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Kane, R., Borwein, J., Borwein, P. (2001). Minimal decompositions. 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_31
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DOI: https://doi.org/10.1007/978-1-4757-3542-0_31
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