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| Format: | Preprint |
| Publié: |
2025
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| Accès en ligne: | https://arxiv.org/abs/2509.21252 |
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| _version_ | 1866916970411065344 |
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| author | Kawamura, Hanamichi |
| author_facet | Kawamura, Hanamichi |
| contents | This paper gives a completed proof of Ecalle's senary relation in the original form. As an application, we obtain another proof of the fact that the double shuffle Lie algebra injects into the Kashiwara--Vergne Lie algebra. We also give two explicit isomorphisms between some dimorphic Lie algebras and their linearized version. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_21252 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ecalle's senary relation and dimorphic structures Kawamura, Hanamichi Quantum Algebra Number Theory 17B40 This paper gives a completed proof of Ecalle's senary relation in the original form. As an application, we obtain another proof of the fact that the double shuffle Lie algebra injects into the Kashiwara--Vergne Lie algebra. We also give two explicit isomorphisms between some dimorphic Lie algebras and their linearized version. |
| title | Ecalle's senary relation and dimorphic structures |
| topic | Quantum Algebra Number Theory 17B40 |
| url | https://arxiv.org/abs/2509.21252 |