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Publications

On the Irreducibility of the Representation of the Pure Braid Group on ThreeStrands

Abstract

Consider a representation  : B3 \to GL6(C) constructed by M. Al-Tahan and M. Abdulrahim. We construct a rep- resentation  equivalent to the restriction of  on P3 and show that  is a direct sum of irreducible subrepresenta- tions, which are not equivalent to the reduced Burau representation restricted to P3. Also, we show that the subrepresentations  areunitary relative to unique invertible hermitian matrices.

Author(s)

Hasan A. Haidar

Coauthor(s)

Mohammad N. Abdulrahim

Journal/Conference Information

International Journal of Applied Mathematics,DOI: doi: http://dx.doi.org/10.12732/ijam.v32i2.7, ISSN: ISSN: 1314-8060, Volume: 32, Issue: 2, Pages Range: 249-257,