Brunnian braids and Lie algebras

JOURNAL OF ALGEBRA

卷:439

Article

Li, J. Y.¹  Vershinin, V. V.^2,3,4  Wu, J.⁵ 

[1] Shijiazhuang Tiedao Univ, Dept Math & Phys, Shijiazhuang 050000, Hebei, Peoples R China

[2] Univ Montpellier, Dept Sci Math, F-34095 Montpellier 5, France

[3] Sobolev Inst Math, Novosibirsk 630090, Russia

[4] Chelyabinsk State Univ, Lab Quantum Topol, Chelyabinsk 454001, Russia

[5] Natl Univ Singapore, Dept Math, Singapore 119076, Singapore

关键词: Brunnian braid;    Lie algebra;   

DOI  :  10.1016/j.jalgebra.2015.05.013

来源: Elsevier

【 摘 要 】

Brunnian braids have interesting relations with homotopy groups of spheres. In this work, we study the graded Lie algebra of the descending central series related to Brunnian subgroup of the pure braid group. A presentation of this Lie algebra is obtained as well as the rank in each grading is calculated. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free