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

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Colleges, School and Institutes

External organisations

  • Université Paris Diderot – Paris 7
  • LAMFA, Université de Picardie-Jules Verne


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.


Original languageEnglish
JournalJournal fuer die Reine und Angewandte Mathematik: Crelle's journal
Early online date4 Jun 2015
Publication statusPublished - Dec 2017