Microlocal KZ-functors and rational Cherednik algebras
نویسندگان
چکیده
منابع مشابه
Monodromy of Partial Kz Functors for Rational Cherednik Algebras
1.1. Shan has proved that the categories Oc(Wn) for rational Cherednik algebras of type Wn = W (G(`, 1, n)) = Snn(μ`) with n varying, together with decompositions of the parabolic induction and restriction functors of Bezrukavnikov-Etingof, provide a categorification of an integrable s̃le Fock space representation F(m), [18]. The parameters m ∈ Z` and e ∈ N ∪ {∞} arise from the choice of paramet...
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These are notes for a talk in the MIT-Northeastern Spring 2015 Graduate Representation Theory Seminar. The main source is [BR14].
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We construct a microlocalization of the rational Cherednik algebras H of type Sn. This is achieved by a quantization of the Hilbert scheme Hilb C2 of n points in C2. We then prove the equivalence of the category of H -modules and that of modules over its microlocalization under certain conditions on the parameter.
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2012
ISSN: 0012-7094
DOI: 10.1215/00127094-1593353