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

Abstract

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 $\widetilde{A_n}$.

References in corpus (1)

• Gröbner-Shirshov bases for Coxeter groups I