The Lie coalgebra of multiple polylogarithms
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2022
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866913245551394816 |
|---|---|
| author | Greenberg, Zachary Kaufman, Dani Li, Haoran Zickert, Christian K. |
| author_facet | Greenberg, Zachary Kaufman, Dani Li, Haoran Zickert, Christian K. |
| contents | We use Goncharov's coproduct of multiple polylogarithms to define a Lie coalgebra over an arbitrary field. It is generated by symbols subject to inductively defined relations, which we think of as functional relations for multiple polylogarithms. In particular, we have inversion relations and shuffle relations. We relate our definition to Goncharov's Bloch groups, and to the concrete model in weight less than 5 by Goncharov and Rudenko. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_11588 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The Lie coalgebra of multiple polylogarithms Greenberg, Zachary Kaufman, Dani Li, Haoran Zickert, Christian K. K-Theory and Homology Number Theory 11G55 (Primary), 19E15, 14D07, 32G20 (Secondary) We use Goncharov's coproduct of multiple polylogarithms to define a Lie coalgebra over an arbitrary field. It is generated by symbols subject to inductively defined relations, which we think of as functional relations for multiple polylogarithms. In particular, we have inversion relations and shuffle relations. We relate our definition to Goncharov's Bloch groups, and to the concrete model in weight less than 5 by Goncharov and Rudenko. |
| title | The Lie coalgebra of multiple polylogarithms |
| topic | K-Theory and Homology Number Theory 11G55 (Primary), 19E15, 14D07, 32G20 (Secondary) |
| url | https://arxiv.org/abs/2203.11588 |