English

Cohomology in singular blocks of parabolic category $\mathcal{O}$

Representation Theory 2023-04-18 v2

Abstract

We determine the dimensions of Ext\mathrm{Ext}-groups between simple modules and dual generalized Verma modules in singular blocks of parabolic versions of category O\mathcal{O} for complex semisimple Lie algebras and affine Kac-Moody algebras.

Keywords

Cite

@article{arxiv.2210.02269,
  title  = {Cohomology in singular blocks of parabolic category $\mathcal{O}$},
  author = {Jonathan Gruber},
  journal= {arXiv preprint arXiv:2210.02269},
  year   = {2023}
}

Comments

14 pages. Minor revisions after a referee report. To appear in Glasg. Math. J