Image of the Artin groups of classical types inside the finite Iwahori-Hecke algebras

Abstract

We determine the image of the Artin groups of types B and D inside the Iwahori-Hecke algebras, when defined over finite fields, in the semisimple case. This generalizes earlier work on type A by Brunat, Magaard and Marin. In this multi-parameter case, this image depends heavily on the parameters.

arXiv comment30 pages

References in corpus (3)

• Local indicability and commutator subgroups of Artin groups
• Infinitesimal Hecke Algebras IV
• Artin Groups and Iwahori-Hecke algebras over finite fields