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

Kay Magaard; Olievier Brunat; Ivan  Marin

doi:10.1515/crelle-2015-0004

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

Kay Magaard, Olievier Brunat, Ivan Marin

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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 language	English
Journal	Journal fuer die Reine und Angewandte Mathematik: Crelle's journal
Early online date	4 Jun 2015
DOIs	https://doi.org/10.1515/crelle-2015-0004
Publication status	Published - Dec 2017

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title = "Image of the braid groups inside the finite Iwahori-Hecke algebras",

abstract = "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. ",

author = "Kay Magaard and Olievier Brunat and Ivan Marin",

year = "2017",

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AU - Marin, Ivan

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AB - 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.

U2 - 10.1515/crelle-2015-0004

DO - 10.1515/crelle-2015-0004

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JO - Journal fuer die Reine und Angewandte Mathematik: Crelle's journal

JF - Journal fuer die Reine und Angewandte Mathematik: Crelle's journal

ER -

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

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