Brunnian Braids and Lie Algebras

2015/02/11 by Li, J. Y., Vershinin, V. V., Wu, J.
#20E99 #FOS: Mathematics #Group Theory (math.GR) #Primary 57M #Secondary 55

paper · doi:10.48550/arxiv.1502.03479

Abstract

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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