A REFLEXIVE REPRESENTATION OF BRAID GROUPS.

In this paper, for every positive integer m, we define a representation ξn,m of the n-strand braid group Bn over a free ℤBn+m-module. It not only provides an approach to construct new representations of braid groups, but also gives a new perspective to the homological representations such as the Lawrence–Krammer representation. [ABSTRACT FROM AUTHOR]