M ar 1 99 7 EXPLICIT IRREDUCIBLE REPRESENTATIONS OF THE IWAHORI - HECKE ALGEBRA OF TYPE F 4 ARUN RAM
نویسنده
چکیده
Abstract. A general method for computing irreducible representations of Weyl groups and Iwahori-Hecke algebras was introduced by the first author in [8]. In that paper the representations of the algebras of types An, Bn, Dn and G2 were computed and it is the purpose of this paper to extend these computations to F4. The main goal here is to compute irreducible representations of the Iwahori-Hecke algebra of type F4 by only using information in the character table of the Weyl group.
منابع مشابه
Characters of Iwahori - Hecke Algebras
Iwahori-Hecke algebras for the innnite series of complex reeection groups G(r; p; n) were constructed recently in the work of Ariki and Koike, Brou e and Malle, and Ariki. In this paper we give Murnaghan-Nakayama type formulas for computing the irreducible characters of these algebras. Our method is a generalization of that in our earlier paper in which we derived Murnaghan-Nakayama rules for t...
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