Article Dans Une Revue Journal of Algebra Année : 2015

Brunnian braids and Lie algebras

J.Y. Li
  • Fonction : Auteur
J. Wu
  • Fonction : Auteur

Résumé

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 as well as the rank in each grading is calculated.

Dates et versions

hal-02086387 , version 1 (01-04-2019)

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Citer

J.Y. Li, J. Wu, Vladimir Vershinin. Brunnian braids and Lie algebras. Journal of Algebra, 2015, 439, pp.270-293. ⟨10.1016/j.jalgebra.2015.05.013⟩. ⟨hal-02086387⟩
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