Multivariate Diagonal Coinvariant Spaces for Complex Reflection Groups

Mathematics – Combinatorics

Scientific paper

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12 pages, Removed a (wrong) conjecture, and reformulated in agreement. Also cleared up section on low degree terms

Scientific paper

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 $r$.

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