English

On the Lie algebras of surface pure braid groups

Algebraic Topology 2012-02-21 v1 Group Theory

Abstract

We consider the Lie algebra associated with the descending central series filtration of the pure braid group of a closed surface of arbitrary genus. R. Bezrukavnikov gave a presentation of this Lie algebra over the rational numbers. We show that his presentation remains true for this Lie algebra itself, i.e. over integers.

Keywords

Cite

@article{arxiv.0902.1963,
  title  = {On the Lie algebras of surface pure braid groups},
  author = {B. Enriquez and V. V. Vershinin},
  journal= {arXiv preprint arXiv:0902.1963},
  year   = {2012}
}

Comments

5 pages

R2 v1 2026-06-21T12:10:22.609Z