  We introduce the notion of a general cup product bundle gerbe and use it to
define the Weyl bundle gerbe on T x SU(n)/T. The Weyl map from T x SU(n)/T to
SU(n) is then used to show that the pullback of the basic bundle gerbe on SU(n)
defined by the second two authors is stably isomorphic to the Weyl bundle gerbe
as SU(n)-equivariant bundle gerbes. Both bundle gerbes come equipped with
connections and curvings and by considering the holonomy of these we show that
these bundle gerbes are not D-stably isomorphic.
