Kostant's problem for parabolic Verma modules

Volodymyr Mazorchuk, Shraddha Srivastava

Published 2023-01-17Version 1

We give a complete combinatorial classification of those parabolic Verma modules in the principal block of the parabolic category $\mathcal{O}$ associated to a minimal or a maximal parabolic subalgebra of the special linear Lie algebra for which the answer to Kostant's problem is positive.