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Publications

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

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 wBn.

Author(s)

Rana Kahil

Coauthor(s)

Mohammad Abdulrahim

Journal/Conference Information

Journal of Prime Research in Mathematics,19( 1), 2023, 34-43.,