On Negative Orbits of Finite Coxeter Groups |
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Authors: | Sarah B Perkins Peter J Rowley |
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Institution: | (1) Birkbeck, University of London, United Kingdom |
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Abstract: | For a Coxeter group W, X a subset of W and a positive root, we define the negative orbit of under X to be {w · | w X} –, where – is the set of negative roots. Here we investigate the sizes of such sets as varies in the case when W is a finite Coxeter group and X is a conjugacy class of W. |
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Keywords: | Coxeter group root system |
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