1 December 2012 Minimal length elements of finite Coxeter groups
Xuhua He, Sian Nie
Duke Math. J. 161(15): 2945-2967 (1 December 2012). DOI: 10.1215/00127094-1902382

Abstract

We give a geometric proof that any minimal length element in a (twisted) conjugacy class of a finite Coxeter group W has remarkable properties with respect to conjugation, taking powers in the associated braid monoid and taking the centralizer in W.

Citation

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Xuhua He. Sian Nie. "Minimal length elements of finite Coxeter groups." Duke Math. J. 161 (15) 2945 - 2967, 1 December 2012. https://doi.org/10.1215/00127094-1902382

Information

Published: 1 December 2012
First available in Project Euclid: 29 November 2012

zbMATH: 1272.20042
MathSciNet: MR2999317
Digital Object Identifier: 10.1215/00127094-1902382

Subjects:
Primary: 20F55
Secondary: 20E45

Rights: Copyright © 2012 Duke University Press

Vol.161 • No. 15 • 1 December 2012
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