Representations of the Iwahori–Hecke algebra of type An-1
are equivalent to representations of the braid group Bn for which
the generators satisfy a certain quadratic relation. We show how to
construct such representations from the natural action of Bn on the
homology of configuration spaces of the punctured disk. We conjecture
that all irreducible representations of Hn can be obtained
in this way, even for non-generic values of q.
