Grobner-Shirshov Basis for affine Weyl Group \widetildeA_n

2012/03/29 by Erol Yılmaz, Yılmaz, Erol, Cenap Özel +3
Computer Science · Engineering · #Coding theory and cryptography #FOS: Mathematics #Group Theory (math.GR) #graph theory and CDMA systems #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1203.6531

openalex publication_date 2012/03/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using Buchberger-Shirshov Algorithm and Composition-Diamond lemma we obtain the reduced Grobner-Shirshov bases of \widetildeA_n and classify all reduced words of the affine Weyl group \widetildeA_n.

Citations

• Gröbner-Shirshov bases for Coxeter groups I

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