Kostant's problem for fully commutative permutations

Marco Mackaay, Volodymyr Mazorchuk, Vanessa Miemietz

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Abstract

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.
Original languageEnglish
JournalRevista Matemática Iberoamericana
Early online date8 Jun 2023
DOIs
Publication statusE-pub ahead of print - 8 Jun 2023

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