Explicit Irreducible Representations of the Iwahori-Hecke Algebra of Type F4


Arun Ram and D. E. Taylor


Research Report 1997-11
To appear in Manuscripta Mathematica
Date: 24 March 1997; revised 15 August 1998


A general method for computing irreducible representations of Weyl groups and Iwahori-Hecke algebras was introduced by the first author in 1997. 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.

Key phrases

Iwahori-Hecke algebra. Weyl group. seminormal representation.

AMS Subject Classification (1991)

Primary: 20F55
Secondary: 20F28


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