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On Hilbert series of Koszul operads and a classification result for set-operads (2509.14419v1)
Published 17 Sep 2025 in math.QA
Abstract: Motivated by numerous examples in the literature, we state a conjecture on the Hilbert series of Koszul symmetric operads generated by one element of arity $2$. We prove this conjecture for all Koszul symmetric set-operads generated by one element of arity $2$ by explicitly classifying those. There are $11$ such operads; $4$ of them are new.
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