| Résume | In early 90's K.Uno determined the representation type of the ($1$-parameter) Iwahori-Hecke algebras for the Coxeter groups with rank $2$ and the finite Weyl groups of type $A$. Uno conjectured that a given Iwahori-Hecke algebra $H$ is not semisimple and of finite type if and only if the parameter of $H$ is a simple root of the Poincare polynomial for the Weyl group of $H$. Recently, by Ariki-Mathas (math.RT/0106185) and Ariki (math.QA/0108176) we can know all the representation types of classical ($1$-parameter) Hecke algebras. Motivated these works, we determine the representation type of the ($1$-parameter) Iwahori-Hecke algebras for the (crystallographic) exceptional Weyl groups over a splitting field with a good characteristic. |
