Alvis, Dean Subrings of the asymptotic Hecke algebra of type \(H_4\). (English) Zbl 1196.20003 Exp. Math. 17, No. 3, 375-383 (2008). Summary: The structure of the subring \(J^{\Gamma\cap\Gamma^{-1}}\) of the asymptotic Hecke algebra is described for \(\Gamma\) a left cell of the Coxeter group of type \(H_4\). A small set of generators over \(\mathbb{Z}\) is produced. The subalgebras spanned by a subset of the basis \(\{t_x\}_{x\in\Gamma\cap\Gamma^{-1}}\) are determined. Cited in 3 Documents MSC: 20C08 Hecke algebras and their representations 20F55 Reflection and Coxeter groups (group-theoretic aspects) 20C40 Computational methods (representations of groups) (MSC2010) Keywords:asymptotic Hecke algebras; Coxeter groups; left cells; cell modules; small generating sets × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid