Multivariate Diagonal Coinvariant Spaces for Complex Reflection Groups
Combinatorics
2011-11-03 v4 Representation Theory
Abstract
For finite complex reflexion groups, we consider the graded -modules of diagonally harmonic polynomials in sets of variables, and show that associated Hilbert series may be described in a global manner, independent of the value of .
Cite
@article{arxiv.1105.4358,
title = {Multivariate Diagonal Coinvariant Spaces for Complex Reflection Groups},
author = {Francois Bergeron},
journal= {arXiv preprint arXiv:1105.4358},
year = {2011}
}
Comments
12 pages, Removed a (wrong) conjecture, and reformulated in agreement. Also cleared up section on low degree terms