Notes on Kashiwara-Vergne and double shuffle Lie algebras
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866910679080894464 |
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| author | Furusho, Hidekazu Komiyama, Nao |
| author_facet | Furusho, Hidekazu Komiyama, Nao |
| contents | We explain the current situation of the relationship between the Kashiwara-Vergne Lie algebra $\mathfrak{krv}$ and the double shuffle Lie algebra $\mathfrak{dmr}$. We also show the validity of Ecalle's senary relation for small depths. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_09444 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Notes on Kashiwara-Vergne and double shuffle Lie algebras Furusho, Hidekazu Komiyama, Nao Quantum Algebra Number Theory Rings and Algebras 17B05 (Primary) 11M32, 16S30, 17B40 (Secondary) We explain the current situation of the relationship between the Kashiwara-Vergne Lie algebra $\mathfrak{krv}$ and the double shuffle Lie algebra $\mathfrak{dmr}$. We also show the validity of Ecalle's senary relation for small depths. |
| title | Notes on Kashiwara-Vergne and double shuffle Lie algebras |
| topic | Quantum Algebra Number Theory Rings and Algebras 17B05 (Primary) 11M32, 16S30, 17B40 (Secondary) |
| url | https://arxiv.org/abs/2211.09444 |