Abstract:
We consider the multi-parameter representation of Artin’s braid group introduced
by D. D. Long and J. P. Tian, namely α : Bn → GLm(C), where m = n!n . First, we
show that there exists a complex specialization of the multi-parameter representation
that does not arise from any Hecke algebra. Second, we find conditions under which the
images of the generators of the braid group on three strings under the multi-parameter
representation are unitary relative to a nonsingular hermitian matrix.
Citation:
Abdulrahim, M., Tahan, M., & Habre, S. (2013). Multi-parameter Burau representations. Tamkang Journal Of Mathematics, 44(1), 91-98.
