Systems and methods for dynamically generating a schema representing multiple hierarchies of inter-object relationships are described. In one aspect, a polyarchical query language data structure includes first, second, and third data fields. The first data field is used to specify a particular schema for presenting or managing a plurality of objects in a data polyarchy based on values of attributes in the objects. The second data field is to indicate an attribute of interest. The third data field indicates how one or more objects that include the attribute of interest are to be presented or managed with respect to one or more participating dimensions of inter-object relationships based on the schema.