On the quotient ring by diagonal harmonics
Representation Theory
2009-11-07 v2 Combinatorics
Abstract
For a Weyl group W and its reflection representation mathfrak{h}, we find the character and Hilbert series for a quotient ring of C[mathfrak{h} oplus mathfrak{h}^*] by an ideal containing the W--invariant polynomials without constant term. This confirms conjectures of Haiman. The proof makes use of rational Cherednik algebras, as studied by Etingof and Ginzburg, and others.
Cite
@article{arxiv.math/0208126,
title = {On the quotient ring by diagonal harmonics},
author = {Iain Gordon},
journal= {arXiv preprint arXiv:math/0208126},
year = {2009}
}