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

preprint2012arXivOpen access

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

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Grobner-Shirshov Basis for affine Weyl Group An~\widetilde{A_n}An​​

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