Structure of a Hecke Algebra Quotient
نویسنده
چکیده
Let W be a Coxeter group with Coxeter graph Γ. Let H be theassociated Hecke algebra. We define a certain ideal I in H and study thequotient algebra H̄ = H/I. We show that when Γ is one of the infinite seriesof graphs of type E, the quotient is semi-simple. We examine the cell structuresof these algebras and construct their irreducible representations. We discussthe case where Γ is of type B, F , or H. Department of Mathematics, Harvard University, Cambridge, Massachusetts 02138E-mail address: [email protected] address: School of Mathematics, Institute for Advanced Study, Princeton, New Jersey08540 License or copyright restrictions may apply to redistribution; see http://www.ams.org/journal-terms-of-use
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