English

Kostant's problem for parabolic Verma modules

Representation Theory 2023-01-18 v1

Abstract

We give a complete combinatorial classification of those parabolic Verma modules in the principal block of the parabolic category O\mathcal{O} associated to a minimal or a maximal parabolic subalgebra of the special linear Lie algebra for which the answer to Kostant's problem is positive.

Keywords

Cite

@article{arxiv.2301.07090,
  title  = {Kostant's problem for parabolic Verma modules},
  author = {Volodymyr Mazorchuk and Shraddha Srivastava},
  journal= {arXiv preprint arXiv:2301.07090},
  year   = {2023}
}
R2 v1 2026-06-28T08:13:45.221Z