English

The Dipper-Du Conjecture Revisited

Representation Theory 2021-06-08 v2

Abstract

We consider vertices, a notion originating in local representation theory of finite groups, for the category O\mathcal{O} of a rational Cherednik algebra and prove the analogue of the Dipper-Du Conjecture for Hecke algebras of symmetric groups in that setting. As a corollary we obtain a new proof of the Dipper-Du Conjecture over C\mathbb{C}.

Keywords

Cite

@article{arxiv.1904.11926,
  title  = {The Dipper-Du Conjecture Revisited},
  author = {Emily Norton},
  journal= {arXiv preprint arXiv:1904.11926},
  year   = {2021}
}

Comments

14 pages, last revised March 10, 2021 in accordance with referee report

R2 v1 2026-06-23T08:50:40.070Z