English

On self-extensions of irreducible modules over symmetric groups, II

Representation Theory 2025-05-27 v1

Abstract

It is conjectured that irreducible representations of symmetric groups have no non-trivial self-extension over fields of odd characteristic. We improve on partial results showing evidence of this conjecture.

Keywords

Cite

@article{arxiv.2505.18316,
  title  = {On self-extensions of irreducible modules over symmetric groups, II},
  author = {Lucia Morotti},
  journal= {arXiv preprint arXiv:2505.18316},
  year   = {2025}
}