Subrings of the Asymptotic Hecke Algebra of Type $H_4$
Alvis, Dean
Experiment. Math., Tome 17 (2008) no. 1, p. 375-383 / Harvested from Project Euclid
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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.
Publié le : 2008-05-15
Classification:  Hecke algebras and their representations,  20C08 
@article{1227121390,
     author = {Alvis,  Dean},
     title = {Subrings of the Asymptotic Hecke Algebra of Type $H\_4$},
     journal = {Experiment. Math.},
     volume = {17},
     number = {1},
     year = {2008},
     pages = { 375-383},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1227121390}
}

Alvis,  Dean. Subrings of the Asymptotic Hecke Algebra of Type $H_4$. Experiment. Math., Tome 17 (2008) no. 1, pp.  375-383. http://gdmltest.u-ga.fr/item/1227121390/