On category O for cyclotomic rational Cherednik algebras

Iain Gordon, Ivan Losev

Research output: Working paper

Abstract

We study equivalences for category O_p of the rational Cherednik algebras H_p of type G_l(n) = \mu_l^n\rtimes S_n: a highest weight equivalence between O_p and O_{\sigma(p)} for \sigma\in S_l and an action of S_l on a non-empty Zariski open set of parameters p; a derived equivalence between O_p and O_{p'} whenever p and p' have integral difference; a highest weight equivalence between O_p and a parabolic category O for the general linear group, under a non-rationality assumption on the parameter p. As a consequence, we confirm special cases of conjectures of Etingof and of Rouquier.
Original languageEnglish
PublisherArXiv
Number of pages64
Publication statusPublished - 2013

Keywords

  • math.RT
  • 16G99

Fingerprint Dive into the research topics of 'On category O for cyclotomic rational Cherednik algebras'. Together they form a unique fingerprint.

Cite this