On category O for cyclotomic rational Cherednik algebras

Iain Gordon, Ivan Losev

Research output: Working paper

Abstract / Description of output

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 / Materials (for Non-textual outputs)

  • math.RT
  • 16G99

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