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arXiv · 1311.7089

A classification of affine fully commutative elements

Sadek Al Harbat
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Abstract

We classify fully commutative elements in the affine Coxeter group of type $\tilde{A_{n}}$. We give a normal form for such elements, then we propose an application of this normal form: we lift these fully commutative elements to the affine braid group of type $\tilde{A_{n}}$ and we get a form for "fully commutative braids".

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Sadek Al Harbat. 2013-11-27. A classification of affine fully commutative elements. https://arxiv.org/abs/1311.7089

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