Kostant's problem for fully commutative permutations

Marco Mackaay; Volodymyr Mazorchuk; Vanessa Miemietz

doi:10.4171/RMI/1428

Kostant's problem for fully commutative permutations

Marco Mackaay, Volodymyr Mazorchuk, Vanessa Miemietz

Algebra and Combinatorics

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1 Citation (Scopus)

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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 language	English
Pages (from-to)	537–563
Number of pages	27
Journal	Revista Matematica Iberoamericana
Volume	40
Issue number	2
Early online date	8 Jun 2023
DOIs	https://doi.org/10.4171/RMI/1428
Publication status	Published - 13 Mar 2024

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10.4171/RMI/1428Licence: CC BY

kostant-revisedAccepted author manuscript, 346 KBLicence: CC BY

2-representation theory and categorification
Miemietz, V.
Engineering and Physical Sciences Research Council
2/04/19 → 31/03/23
Project: Research

Cite this

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author = "Marco Mackaay and Volodymyr Mazorchuk and Vanessa Miemietz",

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N2 - 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.

AB - 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.

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Kostant's problem for fully commutative permutations

Abstract

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Projects

2-representation theory and categorification

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