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Morphisms between Verma modules

A cohomology computation request.

Morphisms between Verma modules

A cohomology computation request.

Here is why one might care: from the short exact sequence

Added later: c) is also false for type $A_2$.

Here is why one might care: from the short exact sequence

Here is why one might care: from the short exact sequence

Added later: c) is undoubtedly false, as indicated by Dag's counterexample in type $A_1\times A_1$ below.

Here is why one might care: from the short exact sequence