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Multivariate diagonal coinvariant spaces for complex reflection groups. (English) Zbl 1284.05329
Summary: For finite complex reflection 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 $$r$$.

##### MSC:
 05E10 Combinatorial aspects of representation theory 05E05 Symmetric functions and generalizations 20F55 Reflection and Coxeter groups (group-theoretic aspects)
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##### References:
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