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arXiv · 0705.0528

Subrings of the asymptotic Hecke algebra of type $H_4$

Dean Alvis
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Abstract

The structure of subring $J^{Γ\cap Γ^{-1}}$ of the asymptotic Hecke algebra is described for $Γ$ a left cell of the Coxeter group of type $H_4$. A small set of generators is produced. The subalgebras spanned by a subset of the basis ${t_x}_{x\in Γ\capΓ^{-1}}$ are determined.

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Dean Alvis. 2007-05-22. Subrings of the asymptotic Hecke algebra of type $H_4$. https://arxiv.org/abs/0705.0528

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