Abstract

A theorem of Y. Berest, P. Etingof and V. Ginzburg states that finite-dimensional irreducible representations of a type A rational Cherednik algebra are classified by one rational number m/n. Every such representation is a representation of the symmetric group Sn. We compare certain multiplicity spaces in its decomposition into irreducible representations of Sn with the spaces of differential forms on a zero-dimensional moduli space associated with the plane curve singularity xm = yn.

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