On the representations of the braid group and the welded braid group

Authors

  • Rana S. Kahil Department of Mathematics, Beirut Arab University, P.O. Box 11-5020, Beirut, Lebanon.
  • Mohammad N. Abdulrahim Department of Mathematics, Beirut Arab University, P.O. Box 11-5020, Beirut, Lebanon.

Keywords:

Braid group, common fixed point, Welded Braid group, Cohen. 2010 MSC, Primary, 20F36

Abstract

We study the composition of F. R. Cohen’s map Bn → Bnk with the standard representation of Bnk, where Bn is the braid group on n strings. We prove that the obtained representation of Bn is isomorphic to the direct sum of k copies of the standard representation of Bn. A similar work is done for the welded braid group ????Bn.

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Published

2023-06-30

How to Cite

On the representations of the braid group and the welded braid group. (2023). Journal of Prime Research in Mathematics, 19(1), 34 – 43. https://jprm.sms.edu.pk/index.php/jprm/article/view/206