On the Lie algebras of surface pure braid groups

Details On the Lie algebras of surface pure braid groups On the Lie algebras of surface pure braid groups

2009-02-11

arxiv.org/abs/0902.1963v1

Mathematics

Algebraic Topology

5 pages

Scientific paper

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.

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