Gröbner–Shirshov basis and reduced words for affine Weyl group Ãn

DOI10.1142/S0219498814500054zbMath1294.22020OpenAlexW2033004562MaRDI QIDQ5420673

Erol Yilmaz, Cenap Ozel, Ugur Ustaoglu

Publication date: 13 June 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498814500054

zbMATH Keywords

affine Weyl groupsPoincaré polynomialreduced wordsGröbner-Shirshov basisComposition-Diamond Lemma

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Loop groups and related constructions, group-theoretic treatment (22E67) Reflection groups, reflection geometries (51F15)

Related Items

Gröbner-Shirshov basis and normal forms for the infinite Coxeter group of type \(\widetilde{C}_n\) ⋮ GRÖBNER-SHIRSHOV BASES AND NORMAL FORMS OF SOME COXETER GROUPS

Cites Work

• The diamond lemma for ring theory
• Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
• On theories with a combinatorial definition of 'equivalence'
• GRÖBNER-SHIRSHOV BASES FOR COXETER GROUPS
• GRÖBNER—SHIRSHOV BASES AND NORMAL FORMS FOR THE COXETER GROUPS E₆ AND E₇