Exact sequences, lower central series and representations of surface braid groups

Paolo Bellingeri (1) , Eddy Godelle (1) , John Guaschi (1)

1 LMNO - Laboratoire de Mathématiques Nicolas Oresme

We consider exact sequences and lower central series of surface braid groups and we explain how they can prove to be useful for obtaining representations for surface braid groups. In particular, using a completely algebraic framework, we describe the notion of extension of a representation introduced and studied recently by An and Ko and independently by Blanchet.

Mots clés: surface braid groups; linear representations of braid groups

Domaines: Topologie géométrique [math.GT]; Théorie des groupes [math.GR]

Paolo Bellingeri, Eddy Godelle, John Guaschi. Exact sequences, lower central series and representations of surface braid groups. 2011. ⟨hal-00603304⟩