Multivariate diagonal coinvariant spaces for complex reflection groups

• DOI: 10.1016/j.aim.2013.02.013
• Publication Date: 2013-03-22T18:44:16Z
• Authors: François Bergeron
• Keywords: Reflection

12 pages, Removed a (wrong) conjecture, and reformulated in agreement. Also cleared up section on low degree terms<br/>For finite complex reflexion groups, we consider the graded $W$-modules of diagonally harmonic polynomials in $r$ sets of variables, and show that associated Hilbert series may be described in a global manner, independent of the value of $r$.<br/>