On injective homomorphisms for pure braid groups, and associated Lie algebras

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dc.creatorCohen, F. R.
dc.creatorPrassidis, Stratos
dc.date2004-04-15
dc.date2005-04-13
dc.date.accessioned2026-07-07T05:07:28Z
dc.date.available2026-07-07T05:07:28Z
dc.descriptionThe question of whether a representation of Artin's pure braid group is faithful is translated to certain properties of the Lie algebra arising from the descending central series of the pure braid group, and thus the Vassiliev invariants of pure braids via work of T. Kohno \cite{kohno1,kohno2}. The main result is a Lie algebraic condition which guarantees that a homomorphism out of the classical pure braid group is faithful. However, it is unclear whether the methods here can be applied to any open cases such as the Gassner representation.
dc.descriptionChange in Context
dc.identifierhttps://arxiv.org/abs/math/0404278
dc.identifierhttp://arxiv.org/abs/math/0404278
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70868
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subjectRings and Algebras
dc.subject20F36; 17Bxx
dc.titleOn injective homomorphisms for pure braid groups, and associated Lie algebras
dc.typetext

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