The Cartier-Quillen-Milnor-Moore theorem in the Post-Hopf case
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911759619588096 |
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| author | Catoire, Pierre |
| author_facet | Catoire, Pierre |
| contents | We give the definition of left/right Post-Lie algebras and left/right Post-Hopf algebras and establish a link between those objects. We get a Cartier-Quillen-Milnor-Moore theorem for Post-Hopf algebras. We give another description for free Post-Lie algebras and a description for Post-Lie algebras obtained from an associative product. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_09116 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Cartier-Quillen-Milnor-Moore theorem in the Post-Hopf case Catoire, Pierre Combinatorics Rings and Algebras We give the definition of left/right Post-Lie algebras and left/right Post-Hopf algebras and establish a link between those objects. We get a Cartier-Quillen-Milnor-Moore theorem for Post-Hopf algebras. We give another description for free Post-Lie algebras and a description for Post-Lie algebras obtained from an associative product. |
| title | The Cartier-Quillen-Milnor-Moore theorem in the Post-Hopf case |
| topic | Combinatorics Rings and Algebras |
| url | https://arxiv.org/abs/2401.09116 |