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

2017/07/08 by Esterle, Alexandre · 1 citation
#20C08 #20E28 #20F36 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1707.02479

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.

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