Lecture notes on Cherednik algebras
@article{Etingof2010LectureNO, title={Lecture notes on Cherednik algebras}, author={Pavel Etingof and Xiaoguang Ma}, journal={arXiv: Representation Theory}, year={2010} }
The present notes are based on a course on Cherednik algebras given by the first author at MIT in the Fall of 2009. Their goal is to give an introduction to Cherednik algebras, and to review the web of connections between them and other mathematical objects.
44 Citations
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Representations of Cherednik Algebras Associated to Symmetric and Dihedral Groups in Positive Characteristic
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Category O for the rational Cherednik algebra associated to the complex reflection group G 12
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The polynomial representation of the type An−1 rational Cherednik algebra in characteristic p | n
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ABSTRACT We study the polynomial representation of the rational Cherednik algebra of type An−1 with generic parameter in characteristic p for p | n. We give explicit formulas for generators for the…
Proceedings of the International Congress of Mathematicians Hyderabad, India, 2010
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We survey a number of results about the rational Cherednik algebra’s representation theory and its connection to symplectic singularities and their resolutions. Mathematics Subject Classification…
Irreducible representations of the rational Cherednik algebra associated to the Coxeter group H_3
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New realizations of deformed double current algebras and Deligne categories
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In this paper we propose an alternative construction of a certain class of Deformed Double Current Algebras. We construct them as spherical subalgebras of symplectic reflection algebras in the…
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Abstract.We introduce parabolic induction and restriction functors for rational Cherednik algebras, and study their basic properties. Then we discuss applications of these functors to representation…