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

arXiv1203.6531MaRDI QIDQ6231946

Cenap Özel, Erol Yılmaz, Ugur Ustaoglu

Publication date: 29 March 2012

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 $widetilde{A}_n$.

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