On the universal Drinfeld-Yetter algebra
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929327573041152 |
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| author | Rivezzi, Andrea |
| author_facet | Rivezzi, Andrea |
| contents | The universal Drinfeld-Yetter algebra is an associative algebra whose co-Hochschild cohomology controls the existence of quantization functors of Lie bialgebras, such as the renowned one due to Etingof and Kazhdan. It was initially introduced by Enriquez and later re-interpreted by Appel and Toledano Laredo as an algebra of endomorphisms in the colored PROP of a Drinfeld-Yetter module over a Lie bialgebra. In this paper, we provide an explicit formula for its structure constants in terms of certain diagrams, which we term Drinfeld-Yetter looms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_16786 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the universal Drinfeld-Yetter algebra Rivezzi, Andrea Combinatorics 05A05, 05E10, 05B45, 17B62, 18M85 The universal Drinfeld-Yetter algebra is an associative algebra whose co-Hochschild cohomology controls the existence of quantization functors of Lie bialgebras, such as the renowned one due to Etingof and Kazhdan. It was initially introduced by Enriquez and later re-interpreted by Appel and Toledano Laredo as an algebra of endomorphisms in the colored PROP of a Drinfeld-Yetter module over a Lie bialgebra. In this paper, we provide an explicit formula for its structure constants in terms of certain diagrams, which we term Drinfeld-Yetter looms. |
| title | On the universal Drinfeld-Yetter algebra |
| topic | Combinatorics 05A05, 05E10, 05B45, 17B62, 18M85 |
| url | https://arxiv.org/abs/2404.16786 |