Manin triples associated to $n$-Lie bialgebras
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909131620745216 |
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| author | Chen, Ying Kang, Chuangchuang Lü, Jiafeng Yu, Shizhuo |
| author_facet | Chen, Ying Kang, Chuangchuang Lü, Jiafeng Yu, Shizhuo |
| contents | In this paper, we study the Manin triples associated to $n$-Lie bialgebras. We introduce the concept of operad matrices for $n$-Lie bialgebras. In particular, by studying a special case of operad matrices, it leads to the notion of local cocycle $n$-Lie bialgebras. Furthermore, we establish a one-to-one correspondence between the double of $n$-Lie bialgebras and Manin triples of $n$-Lie algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_15075 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Manin triples associated to $n$-Lie bialgebras Chen, Ying Kang, Chuangchuang Lü, Jiafeng Yu, Shizhuo Rings and Algebras Mathematical Physics 17B62, 17A42, 17B37, 17B60 In this paper, we study the Manin triples associated to $n$-Lie bialgebras. We introduce the concept of operad matrices for $n$-Lie bialgebras. In particular, by studying a special case of operad matrices, it leads to the notion of local cocycle $n$-Lie bialgebras. Furthermore, we establish a one-to-one correspondence between the double of $n$-Lie bialgebras and Manin triples of $n$-Lie algebras. |
| title | Manin triples associated to $n$-Lie bialgebras |
| topic | Rings and Algebras Mathematical Physics 17B62, 17A42, 17B37, 17B60 |
| url | https://arxiv.org/abs/2307.15075 |