Fine structures inside the PreLie operad revisited
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913340452765696 |
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| author | Dotsenko, Vladimir |
| author_facet | Dotsenko, Vladimir |
| contents | We prove a conjecture of Chapoton from 2010 stating that the pre-Lie operad, as a Lie algebra in the symmetric monoidal category of linear species, is freely generated by the free operad on the species of cyclic Lie elements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_08425 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Fine structures inside the PreLie operad revisited Dotsenko, Vladimir K-Theory and Homology Category Theory We prove a conjecture of Chapoton from 2010 stating that the pre-Lie operad, as a Lie algebra in the symmetric monoidal category of linear species, is freely generated by the free operad on the species of cyclic Lie elements. |
| title | Fine structures inside the PreLie operad revisited |
| topic | K-Theory and Homology Category Theory |
| url | https://arxiv.org/abs/2306.08425 |