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arXiv · 1108.0282

Minimal length elements of finite Coxeter groups

Xuhua He·Sian Nie
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Abstract

We give a geometric proof that minimal length elements in a (twisted) conjugacy class of a finite Coxeter group $W$ have remarkable properties with respect to conjugation, taking powers in the associated Braid group and taking centralizer in $W$.

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Xuhua He, Sian Nie. 2011-08-01. Minimal length elements of finite Coxeter groups. https://doi.org/10.1215/00127094-1902382

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