Image of the braid groups inside the finite Iwahori-Hecke algebras

Olivier Brunat , Kay Magaard , Ivan Marin (1)

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352

The Iwahori-Hecke algebras of type A are deformations of the group algebras of the symmetric groups, and can be defined as quotients of the group algebras of the braid groups. We determine the image of the braid groups inside these algebras, when defined over a finite field, in the semisimple case, and for suitably large (but controllable) order of the defining (quantum) parameter.

Domaines: Mathématiques [math]

Olivier Brunat, Kay Magaard, Ivan Marin. Image of the braid groups inside the finite Iwahori-Hecke algebras. Journal für die reine und angewandte Mathematik, 2017, 733, pp.161-182. ⟨10.1515/crelle-2015-0004⟩. ⟨hal-03621315⟩