Explicit irreducible representations of the Iwahori-Hecke algebra of type F4
Abstract
A general method for computing irreducible representations of Weyl groups and Iwahori-Hecke algebras was introduced earlier by the first author. 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.
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