BMR Freeness for Icosahedral Family

DOI10.1080/10586458.2018.1455072zbMath1479.20007arXiv1710.03868OpenAlexW2964100485WikidataQ129870315 ScholiaQ129870315MaRDI QIDQ5114455

Shunsuke Tsuchioka

Publication date: 23 June 2020

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.03868

zbMATH Keywords

cyclotomic Hecke algebrascomplex reflection groupsnoncommutative Gröbner basisBMR freeness conjectureBergman's diamond lemma

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Free semigroups, generators and relations, word problems (20M05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Computational methods for problems pertaining to group theory (20-08) Gröbner-Shirshov bases (16Z10)

Related Items

Hecke algebras of normalizers of parabolic subgroups ⋮ Defect in cyclotomic Hecke algebras ⋮ Geodesic normal forms and Hecke algebras for the complex reflection groups \(G(de, e, n)\) ⋮ The principal block of a \(\mathbb{Z}_{\ell}\)-spets and Yokonuma type algebras ⋮ The BMM symmetrising trace conjecture for groups \(G_{4}\), \(G_{5}\), \(G_{6}\), \(G_{7}\), \(G_{8}\) ⋮ A computational approach to Shephard groups

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