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

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

2012-03-29

arxiv.org/abs/1203.6531v1

Mathematics

Group Theory

Scientific paper

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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