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.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CO 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
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.