Explicit irreducible representations of the Iwahori-Hecke algebra of type $F_4$

Details Explicit irreducible representations of the Iwahori-Hecke algebra of type $F_4$ Explicit irreducible representations of the Iwahori-Hecke algebra of type $F_4$

1997-03-26

arxiv.org/abs/math/9703210v1

Mathematics

Representation Theory

Scientific paper

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 $A_n$, $B_n$, $D_n$ and $G_2$ were computed and it is the purpose of this paper to extend these computations to $F_4$. The main goal here is to compute irreducible representations of the Iwahori-Hecke algebra of type $F_4$ by only using information in the character table of the Weyl group.

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