Decomposition Numbers for Generic Iwahori–Hecke Algebras of Noncrystallographic Type Original Research Article

We compute the Φe-modular decomposition matrices for the generic Iwahori–Hecke algebras of typeI2(m) form set membership, variant image,m > 2,H3, andH4, for alle set membership, variant image leading to nontrivial decomposition maps. The results are obtained by a combined use of different ideas from computational representation theory and by application of the computer algebra systemsimage,image,imageandimage.