Abstract
The purpose of this chapter is to present a uniform description of the conjugacy classes of involutions in finite reflection groups. As we shall see, involutions are closely related to parabolic subgroups, and the classification of involutions is, in essence, a statement of that relation. The results of this chapter, and of the next, are based on the work of Deodhar [1], Richardson [1] and Springer [4].
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© 2001 Springer Science+Business Media New York
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Kane, R., Borwein, J., Borwein, P. (2001). Involutions. 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_28
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DOI: https://doi.org/10.1007/978-1-4757-3542-0_28
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3194-8
Online ISBN: 978-1-4757-3542-0
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