Kostant's problem for fully commutative permutations
Representation Theory
2023-04-14 v2
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 generalising the Barbasch--Vogan theorem for Lie algebras.
Keywords
Cite
@article{arxiv.2205.09090,
title = {Kostant's problem for fully commutative permutations},
author = {Marco Mackaay and Volodymyr Mazorchuk and Vanessa Miemietz},
journal= {arXiv preprint arXiv:2205.09090},
year = {2023}
}
Comments
Minor revision following comments by referees. To appear in Rev. Mat. Iberoam