4 papers · 1 filter
The BMM Symmetrising Trace Conjecture for Families of Complex Reflection Groups of Rank Two
Eirini Chavli, Götz Pfeiffer
The exceptional complex reflection groups of rank 2 are partitioned into three families. We construct explicit matrix models for the Hecke algebras associated to the maximal groups…
Computing Young's Natural Representations for Generalized Symmetric Groups
Koushik Paul, Götz Pfeiffer
We provide an algorithmic framework for the computation of explicit representing matrices for all irreducible representations of a generalized symmetric group $\Grin_n$, i.e., a wr…
Centers of Hecke Algebras of Complex Reflection Groups
Eirini Chavli, Götz Pfeiffer
We provide a dual version of the Geck--Rouquier Theorem on the center of an Iwahori--Hecke algebra, which also covers the complex case. For the eight complex reflection groups of r…
Around Solomon's descent algebras
Cédric Bonnafé, Götz Pfeiffer
We study different problems related to the Solomon's descent algebra of a finite Coxeter group : positive elements, morphisms between descent algebras, Loewy length..…