Geodesic
Structure of a Hecke algebra quotient
Journal of the American Mathematical Society, Tome 10 (1997) no. 1, pp. 139-167

Voir la notice de l'article provenant de la source American Mathematical Society

Let $W$ be a Coxeter group with Coxeter graph $\gamma$. Let $\mathcal {H}$ be the associated Hecke algebra. We define a certain ideal $\mathcal {I}$ in $\mathcal {H}$ and study the quotient algebra $\bar {\mathcal {H}} = \mathcal {H}/\mathcal {I}$. We show that when $\gamma$ is one of the infinite series of graphs of type $E$, the quotient is semi-simple. We examine the cell structures of these algebras and construct their irreducible representations. We discuss the case where $\gamma$ is of type $B$, $F$, or $H$. 
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Fan, C. Structure of a Hecke algebra quotient. Journal of the American Mathematical Society, Tome 10 (1997) no. 1, pp. 139-167. doi: 10.1090/S0894-0347-97-00222-1

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