English

Brunnian Braids and Lie Algebras

Group Theory 2015-02-13 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1502.03479,
  title  = {Brunnian Braids and Lie Algebras},
  author = {J. Y. Li and V. V. Vershinin and J. Wu},
  journal= {arXiv preprint arXiv:1502.03479},
  year   = {2015}
}

Comments

21 pages

R2 v1 2026-06-22T08:28:02.424Z