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arxiv: 1203.6531 · v1 · pith:SWV36E6Rnew · submitted 2012-03-29 · 🧮 math.GR

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

classification 🧮 math.GR
keywords widetildeaffinegrobner-shirshovgroupreducedweylalgorithmbases
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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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