Kostant's problem for fully commutative permutations

Mackaay, Marco, Mazorchuk, Volodymyr and Miemietz, Vanessa (2023) Kostant's problem for fully commutative permutations. Revista Matemática Iberoamericana. ISSN 0213-2230

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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.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Mathematics
UEA Research Groups:	Faculty of Science > Research Groups > Algebra and Combinatorics
Depositing User:	LivePure Connector
Date Deposited:	20 Apr 2023 09:32
Last Modified:	12 Jul 2023 09:30
URI:	https://ueaeprints.uea.ac.uk/id/eprint/91848
DOI:	10.4171/RMI/1428

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