The Dipper-Du conjecture revisited

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} .