The BMM symmetrising trace conjecture for groups G4, G5, G6, G7, G8

被引：9

作者：

Boura, Christina ^{[1
]}

Chavli, Eirini ^{[2
]}

Chlouveraki, Maria ^{[1
]}

Karvounis, Konstantinos ^{[3
]}

机构：

[1] UVSQ, Lab Math, Batiment Descartes,45 Ave Etats Unis, F-78035 Versailles, France

[2] Univ Stuttgart, Inst Algebra & Zahlentheorie, Pfaffenwaldring 57, D-70569 Stuttgart, Germany

[3] Univ Zurich, Inst Math, Winterthurerstr 190, CH-8057 Zurich, Switzerland

来源：

JOURNAL OF SYMBOLIC COMPUTATION | 2020年 / 96卷

关键词：

Hecke algebras; Complex reflection groups; Symmetric algebras; BMM symmetrising trace conjecture; COMPLEX REFLECTION GROUPS; HECKE ALGEBRA; FREENESS CONJECTURE; QUOTIENTS; CHEVIE;

D O I：

10.1016/j.jsc.2019.02.012

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We prove the BMM symmetrising trace conjecture for the exceptional irreducible complex reflection groups G(4), G(5), G(6), G(7), G(8) using a combination of algorithms programmed in different languages (C++, SAGE, GAP3, Mathematica). Our proof depends on the choice of a suitable basis for the generic Hecke algebra associated with each group. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：62 / 84

页数：23

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