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Cohomology in singular blocks of parabolic category
$\mathcal{O}$
Abstract We determine the dimensions of
$\textrm{Ext}$
-groups between simple modules and dual generalized Verma modules in singular blocks of parabolic versions of category
$\mathcal{O}$
for complex semisimple Lie algebras and affine Kac-Moody algebras.
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