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Brunnian Braids and Lie Algebras

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arxiv 1502.03479 v1 pith:KS6WTMO7 submitted 2015-02-11 math.GR

Brunnian Braids and Lie Algebras

classification math.GR
keywords brunnianalgebrabraidsalgebrasbraidcentraldescendinggraded
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Brunnian braids have interesting relations with homotopy groups of spheres. In this work, we study the graded Lie algebra of the descending central series related to Brunnian subgroup of the pure braid group. A presentation of this Lie algebra is obtained.

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