JournalsrmiVol. 40, No. 2pp. 537–563

Kostant’s problem for fully commutative permutations

  • Marco Mackaay

    Instituto Superior Técnico, Lisboa; Universidade do Algarve, Faro, Portugal

  • Volodymyr Mazorchuk

    Uppsala Universitet, Sweden

  • Vanessa Miemietz

    University of East Anglia, Norwich, UK
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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.

Cite this article

Marco Mackaay, Volodymyr Mazorchuk, Vanessa Miemietz, Kostant’s problem for fully commutative permutations. Rev. Mat. Iberoam. 40 (2024), no. 2, pp. 537–563

DOI 10.4171/RMI/1428