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Pré-Publication, Document De Travail Année : 2009

On the Lie algebras of surface pure braid groups

Vladimir Vershinin
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Résumé

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.

Dates et versions

hal-00803745 , version 1 (22-03-2013)

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Benjamin Enriquez, Vladimir Vershinin. On the Lie algebras of surface pure braid groups. 2009. ⟨hal-00803745⟩
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