English

Some homological properties of category O. III

Representation Theory 2015-08-05 v2 K-Theory and Homology

Abstract

We prove that thick category O\mathcal{O} associated to a semi-simple complex finite dimensional Lie algebra is extension full in the category of all modules. We also prove the weak Alexandru conjecture both for regular blocks of thick category O\mathcal{O} and the associated categories of Harish-Chandra bimodules, but disprove it for singular blocks.

Keywords

Cite

@article{arxiv.1404.3401,
  title  = {Some homological properties of category O. III},
  author = {Kevin Coulembier and Volodymyr Mazorchuk},
  journal= {arXiv preprint arXiv:1404.3401},
  year   = {2015}
}