Representations of rational Cherednik algebras

Details Representations of rational Cherednik algebras Representations of rational Cherednik algebras

2005-04-29

arxiv.org/abs/math/0504600v2

Mathematics

Representation Theory

Scientific paper

This paper surveys the representation theory of rational Cherednik algebras.
We also discuss the representations of the spherical subalgebras. We describe
in particular the results on category O. For type A, we explain relations with
the Hilbert scheme of points on C^2. We insist on the analogy with the
representation theory of complex semi-simple Lie algebras.

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