  In 1994, Kac and Wakimoto suggested a generalization of Bernstein and Leites
character formula for basic Lie superalgebras, and the natural question was
raised: to which simple highest weight modules does it apply? In this paper, we
prove a similar formula for a large class of finite-dimensional simple modules
over the Lie superalgebra gl(m|n), which we call piecewise disconnected
modules, or PDC. The class of PDC modules naturally includes totally connected
modules and totally disconnected modules, the two families for which similiar
character formulas were proven by Su and Zhang as special cases of their
general formula. This paper is part of our program for the pursuit of elegant
character formulas for Lie superalgebras.
