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
收藏
页码：62 / 84
页数：23
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