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

JOURNAL OF ALGEBRA

卷:514

Article

Esterle, Alexandre¹ 

[1] Univ Picardie Jules Verne, CNRS UMR 7352, Lab Amienois Math Fondamentales & Appl, 33 Rue St Leu, F-80039 Amiens 1, France

关键词: Artin group;    Iwahori-Hecke algebra;    Representation;    Finite classical group;   

DOI  :  10.1016/j.jalgebra.2018.06.030

来源: Elsevier

【 摘 要 】

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. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free