Kostant's problem for Whittaker modules

CW Chen - Letters in Mathematical Physics, 2024 - Springer
We study the classical problem of Kostant for Whittaker modules over Lie algebras and Lie
superalgebras. We give a sufficient condition for a positive answer to Kostant's problem for …

Kostant's problem for fully commutative permutations

M Mackaay, V Mazorchuk, V Miemietz - Revista matemática …, 2023 - ems.press
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 …

The tale of Kostant's problem

V Mazorchuk - arXiv preprint arXiv:2308.02839, 2023 - arxiv.org
This is a survey paper presenting the history and both old and new results related to
Kostant's problem. This problem asks for which modules over a semi-simple finite …