Grobner-Shirshov Basis for affine Weyl Group $\widetilde{A_n}$

Erol Yılmaz, Cenap Özel, Uğur Ustaoğlu

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 Wey…