Arc spaces and DAHA representations
Algebraic Geometry
2013-03-05 v2 Representation Theory
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 S_n. We compare certain multiplicity spaces in its decomposition into irreducible representations of S_n with the spaces of differential forms on a zero-dimensional moduli space associated with the plane curve singularity x^m=y^n.
Cite
@article{arxiv.1110.1674,
title = {Arc spaces and DAHA representations},
author = {E. Gorsky},
journal= {arXiv preprint arXiv:1110.1674},
year = {2013}
}
Comments
16 pages