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List of Publications by Department for the Academic Year 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.,