Grobner-Shirshov Basis for affine Weyl Group $\widetilde{A_n}$
Erol Yılmaz, Cenap Özel, Uğur Ustaoğlu · arXiv (Cornell University) · 2012
Using Buchberger-Shirshov Algorithm and Composition-Diamond lemma we obtain the reduced Grobner-Shirshov bases of $\widetilde{A_n}$ and classify all reduced words of the affine Weyl group $\widetilde{A_n}$.