Conjugacy classes and straight elements in Coxeter groups

Marquis, Timothée
(2014) Journal of Algebra — Vol. 407, p. 68-40 (2014)

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. As a byproduct of our methods, we also obtain a characterisation of straight elements of W, namely of those elements w∈W for which ℓ(wn)=nℓ(w) for any n∈Z. In particular, we generalise previous characterisations of straight elements within the class of so-called cyclically fully commutative (CFC) elements, and we give a shorter and more transparent proof that Coxeter elements are straight. © 2014 Elsevier Inc.
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Marquis, T. (2014). Conjugacy classes and straight elements in Coxeter groups. Journal of Algebra, 407, 68-40. https://doi.org/10.1016/j.jalgebra.2014.03.008 (Original work published 2014)