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- Kostant’s problem for fully commutative permutationsPublication . Mackaay, Marco; Mazorchuk, Volodymyr; Miemietz, VanessaWe give a complete combinatorial answer to Kostant's problem for simple highest weight modules indexed by fully commutative permutations. We also propose a reformulation of Kostant's problem in the context of fiab bicategories and classify annihilators of simple objects in the principal birepresentations of such bicategories generalizing the Barbasch-Vogan theorem for Lie algebras.