  We discuss a class of generalized divided difference operators which give
rise to a representation of Nichols-Woronowicz algebras associated to Weyl
groups. For the root system of type $A,$ we also study the condition for the
deformations of the Fomin-Kirillov quadratic algebra, which is a quadratic lift
of the Nichols-Woronowicz algebra, to admit a representation given by
generalized divided difference operators. The relations satisfied by the
mutually commuting elements called Dunkl elements in the deformed
Fomin-Kirillov algebra are determined. The Dunkl elements correspond to the
truncated elliptic Dunkl operators via the representation given by the
generalized divided difference operators.
