Braid groups and symplectic Steinberg groups

被引：0

作者：

Digne, Francois ^{[1
]}

Kassel, Christian ^{[2
]}

机构：

[1] Univ Picardie Jules Verne, CNRS, Lab Amienois Math Fondamentale & Appliquee, Amiens, France

[2] Univ Strasbourg, Inst Rech Math Avancee, CNRS, Strasbourg, France

来源：

ANNALS OF K-THEORY | 2023年 / 8卷 / 04期

关键词：

braid group; Artin group; Steinberg group; symplectic modular group; group presentation; CHEVALLEY GROUPS; THEOREM;

D O I：

10.2140/akt.2023.8.669

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct a homomorphism f from the braid group B2n+2 on 2n + 2 strands to the Steinberg group St(Cn, 71) associated with the Lie type Cn and with integer coefficients. This homomorphism lifts the well-known symplectic representation (aka the integral Burau representation) of the braid group. We also describe the image and the kernel of f .

引用

页码：669 / 692

页数：25

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