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Lengths of Involutions in Coxeter Groups

Journal of Lie theory, 2004
Let t be an involution in a Coxeter group W. We determine the minimal and maximal (in the case of finite W ) length of an involution in the conjugacy class of t. Mathematics Subject Classification 20F55.
S. Perkins, P. Rowley
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Une Remarque sur les Systèmes de Racines

Journal of Lie theory, 2007
We prove that, for any based root system, the closed cone generated by the positive roots is the disjoint union of the cones (1−w)(C), for w in the Weyl group, where C is the open positive chamber. Mathematics Subject Index 2000 : 20F55.
J. Waldspurger
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The Geometry and Topology of Coxeter Groups

Springer Monographs in Mathematics
Michael W. Davis
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