English

On Extensions Between Verma Modules

Representation Theory 2015-09-14 v2

Abstract

A recent result of N. Abe implies that the Gabber-Joseph conjecture is true for the first-degree extensions between Verma modules with regular integral highest weights.

Keywords

Cite

@article{arxiv.1509.02812,
  title  = {On Extensions Between Verma Modules},
  author = {Kevin J. Carlin},
  journal= {arXiv preprint arXiv:1509.02812},
  year   = {2015}
}

Comments

This paper has been withdrawn. In a private communication, Professor Abe indicates that his result is true only up to an inequality. For that reason, the main result stated here remains unproven and, as yet, un-contradicted

R2 v1 2026-06-22T10:52:54.826Z