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.
Iwahori-Hecke algebra. Weyl group. seminormal representation.
AMS Subject Classification (1991)
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