Kostant’s problem for fully commutative permutations

• Marco Mackaay ^[1] ; Volodymyr Mazorchuk ^[2] ; Vanessa Miemietz ^[3]
  1. [1] Universidade do Algarve

     Universidade do Algarve

     Faro (Sé), Portugal

     
  2. [2] Uppsala University

     Uppsala University

     Uppsala domkyrkoförs., Suecia

     
  3. [3] University of East Anglia

     University of East Anglia

     Norwich District, Reino Unido

     

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• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 40, Nº 2, 2024, págs. 537-563
• Idioma: inglés
• DOI: 10.4171/RMI/1428
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• Resumen

  • 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.