The conjugate trace and trace of a plane partition

The conjugate trace and trace of a plane partition are defined, and the generating function for the number of plane partitions π of n with ?r rows and largest part ?m, with conjugate trace t (or trace t, when m = ∞), is found. Various properties of this generating function are studied. One consequence of these properties is a formula which can be regarded as a q-analog of a well-known result arising in the representation theory of the symmetric group.