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,