Lowi, like Gaul, can be divided into three parts: (1) the policy analysis (arenas of power) scheme; (2) democratic theory (juridical democracy, the critique of pluralism, rule of law); and (3) constitutional advocacy centering on designs for parliamentary government. It is in the second category, I believe, that he has made the most significant and lasting contribution.
The first and earliest segment, the policy analysis scheme, was developed in articles, in and after the seminal 1964 book review in World Politics (Lowi 1964, 1972, 1976). Lowi's students have directly employed the policy typology in work on national institutions and policy development (Spitzer 1983; Sanders 1981). However, Lowi himself has not fully developed the implications of the typology in such a way that it could generate an integrated set of testable hypotheses and has failed to clear up essential definitions. The words used to label the four cells of the typology (distributive, regulatory, redistributive, and constituent) have fallen into common currency, but are used in a muddle of ways not consistent with the meanings I believe (as an alumna of Lowi's graduate public policy workshop) that he wants to attach to them. Much of this confusion, and the failure of this set of tantalizing ideas to bear much theoretical fruit, must be laid at the creator's doorstep for neglecting to draw out at length and in detail the typology's implications.