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• W2118123892 abstract "We study equivalences for category $mathcal{O}p$ of the rational Cherednik algebras ${bf H}p$ of type $G{ell}(n) = (mu{ell})^nrtimes mathfrak{S}n$: a highest weight equivalence between $mathcal{O}p$ and $mathcal{O}{sigma(p)}$ for $sigmain mathfrak{S}{ell}$ and an action of $mathfrak{S}_{ell}$ on an explicit non-empty Zariski open set of parameters $p$; a derived equivalence between $mathcal{O}p$ and $mathcal{O}{p'}$ whenever $p$ and $p'$ have integral difference; a highest weight equivalence between $mathcal{O}_p$ and a parabolic category $mathcal{O}$ 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." @default.
• W2118123892 created "2016-06-24" @default.
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• W2118123892 date "2014-01-01" @default.
• W2118123892 modified "2023-09-28" @default.
• W2118123892 title "On category $mathcal{O}$ for cyclotomic rational Cherednik algebras" @default.
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• W2118123892 doi "https://doi.org/10.4171/jems/454" @default.
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