Hilbert series of the finite dimensional generalized Hecke algebras

It is known from the early results of Coxeter that the generalized Hecke algebras $H(Q_{m},3)$, $m\in\{2,3,4,5\}$, are finite dimensional. In this paper we compute the Hilbert series of these finite-type group algebras.

Hilbert series of the finite dimensional generalized Hecke algebras

It is known from the early results of Coxeter that the generalized Hecke algebras $H(Q_{m},3)$, $m\in\{2,3,4,5\}$, are finite dimensional. In this paper we compute the Hilbert series of these finite-type group algebras.