Burau-Like Representations of the n-Braid Group
We consider representations of the Artin n-braid group  by (2n-1) \times (2n-1) matrices over a noncommutative ring. We show that any representation in a module over this ring yields a representation of the braid group which reduces to the reduced Burau representation.
ARIK, M. and TEKİN, S. C. (1997) "Burau-Like Representations of the n-Braid Group," Turkish Journal of Physics: Vol. 21: No. 3, Article 2. Available at: https://journals.tubitak.gov.tr/physics/vol21/iss3/2