Hecke group algebras as quotients of affine Hecke algebras at level 0

Florent Hivert, Anne Schilling, Nicolas M. Thiéry

The Hecke group algebra $H{W}_0$ of a finite Coxeter group $W_0$, as introduced by the first and last author, is obtained from $W_0$ by gluing appropriately its 0-Hecke algebra and i…