Clifford theory on rational Cherednik algebras of imprimitive groups
نویسندگان
چکیده
منابع مشابه
Rational Cherednik algebras
We survey a number of results about rational Cherednik algebra representation theory and its connection to symplectic singularities and their resolutions. Mathematics Subject Classification (2000). Primary 16G, 17B; Secondary 20C, 53D.
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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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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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The goal of this paper is to define a new class of objects which we call triple groups and to relate them with Cherednik's double affine Heeke algebras. This has as immediate consequences new descriptions of double affine Weyl and Artin groups, the double affine Heeke algebras as well as the corresponding elliptic objects. From the new descriptions we recover results of Cherednik on automorphis...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 2017
ISSN: 0019-3577
DOI: 10.1016/j.indag.2017.04.002