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A classification of affine fully commutative elements

Published 27 Nov 2013 in math.GR and math.RA | (1311.7089v1)

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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