Names: Brian D. Boe and Daniel K. Nakano
Email addresses: brian at math dot uga dot edu,  nakano at math dot uga dot edu
Title: Representation type of the blocks of Category $O_S$
Current status: preprint

Abstract: In this paper the authors investigate the representation
type of the blocks of the relative (parabolic) category ${\cal O}_{S}$ for
complex semisimple Lie algebras.
A complete classification of the blocks corresponding to regular weights is
given. The main results of the paper provide
a classification of the blocks in the ``mixed'' case
when the simple roots corresponding to the singular set and $S$ do not meet.