Abstract
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 $\left\{t_x\right\}_{x\in \Gamma\cap\Gamma^-1$ are determined.
Citation
Dean Alvis. "Subrings of the Asymptotic Hecke Algebra of Type $H_4$." Experiment. Math. 17 (3) 375 - 383, 2008.
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