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Article Dans Une Revue Journal für die reine und angewandte Mathematik Année : 2017

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

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Olivier Brunat
  • Fonction : Auteur
Kay Magaard
  • Fonction : Auteur

Résumé

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.

Dates et versions

hal-03621315 , version 1 (28-03-2022)

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Citer

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⟩
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