Subrings of the asymptotic Hecke algebra of type $H_4$

Details Subrings of the asymptotic Hecke algebra of type $H_4$ Subrings of the asymptotic Hecke algebra of type $H_4$

2007-05-03

arxiv.org/abs/0705.0528v2

Mathematics

Representation Theory

Scientific paper

The structure of 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 is produced. The subalgebras spanned by a
subset of the basis ${t_x}_{x\in \Gamma\cap\Gamma^{-1}}$ are determined.

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