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Abstract
We study equivalences for category Op of the rational Cherednik algebras Hp of type G_l(n)=(μ_l)n⋊Sn: a highest weight equivalence between O(p) and O(σ(p)) for σ∈S_l and an action of S_l on an explicit 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 language | English |
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Pages (from-to) | 1017-1079 |
Number of pages | 63 |
Journal | Journal of the European Mathematical Society |
Volume | 16 |
Issue number | 5 |
DOIs | |
Publication status | Published - 18 May 2014 |
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Dive into the research topics of 'On category O for cyclotomic rational Cherednik algebras'. Together they form a unique fingerprint.Projects
- 1 Finished
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RIGID STRUCTURE IN NONCOMMUTATIVE, GEOMETRIC & COMBINATORIAL PROBLEMS
1/09/08 → 30/06/14
Project: Research