Kostant’s problem for fully commutative permutations

Mackaay, Marco; Mazorchuk, Volodymyr; Miemietz, Vanessa

http://hdl.handle.net/10400.1/20632

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Authors

Mackaay, Marco

Mazorchuk, Volodymyr

Miemietz, Vanessa

Abstract(s)

We 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.