For coincidental complex reflection groups, the Hilbert series of mixed invariant differential forms is a simple product in exponents and coexponents, correcting Molchanov's conjecture and yielding product formulas for q-Catalan, q-Narayana, and q-Kirkman numbers.
Brou´ e, Introduction to complex reflection groups and their braid groups
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Invariant theory for coincidental complex reflection groups
For coincidental complex reflection groups, the Hilbert series of mixed invariant differential forms is a simple product in exponents and coexponents, correcting Molchanov's conjecture and yielding product formulas for q-Catalan, q-Narayana, and q-Kirkman numbers.