A relation between Turaev coaction, Goncharov--Brown coaction and the reduced coaction Lie algebra
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916705774600192 |
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| author | Ren, Muze |
| author_facet | Ren, Muze |
| contents | We present a formula that relates the Turaev coaction and the Goncharov-Brown coaction. Motivated by this relation, we introduce the reduced coaction equation. The skew-symmetric solutions to this equation form a Lie algebra under Ihara bracket. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_17416 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A relation between Turaev coaction, Goncharov--Brown coaction and the reduced coaction Lie algebra Ren, Muze Rings and Algebras We present a formula that relates the Turaev coaction and the Goncharov-Brown coaction. Motivated by this relation, we introduce the reduced coaction equation. The skew-symmetric solutions to this equation form a Lie algebra under Ihara bracket. |
| title | A relation between Turaev coaction, Goncharov--Brown coaction and the reduced coaction Lie algebra |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2504.17416 |