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BoeHunziker.data
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Authors:
Brian D. Boe, University of Georgia, 
Markus Hunziker, Baylor University, 

Abstract:
In this paper the authors investigate infinite-dimensional representations $L$
in blocks of the relative (parabolic) category $\O_{S}$ for a complex 
simple Lie algebra, having the property that the cohomology of the 
nilradical with coefficients in $L$ ``looks like'' the cohomology 
with coefficients in a finite-dimensional module, as in Kostant's 
theorem.  A complete classification of these ``Kostant modules'' in 
regular blocks for maximal parabolics in the simply laced types is 
given. A complete classification is also given in arbitrary 
(singular) blocks for Hermitian symmetric categories.

Status:  Preprint (submitted)