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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.14419 |
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| _version_ | 1866912671532580864 |
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| author | Laubie, Paul |
| author_facet | Laubie, Paul |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_14419 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Hilbert series of Koszul operads and a classification result for set-operads Laubie, Paul Quantum Algebra 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. |
| title | On Hilbert series of Koszul operads and a classification result for set-operads |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2509.14419 |