Nijenhuis BiHom-Lie bialgebras and differential Lie bialgebras
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915740282519552 |
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| author | Liu, Jiaqi Gao, Lin Zhang, Yuanyuan |
| author_facet | Liu, Jiaqi Gao, Lin Zhang, Yuanyuan |
| contents | In this paper, we first introduce the concept of Nijenhuis BiHom-Lie algebras. We then establish the equivalence relations between the Manin triples of Nijenhuis BiHom-Lie algebras, Nijenhuis BiHom-Lie bialgebras, and matched pairs of Nijenhuis BiHom-Lie algebras. Furthermore, we show that such an equivalence also holds for differential Lie bialgebras, together with their associated Manin triples and corresponding matched pairs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_13791 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Nijenhuis BiHom-Lie bialgebras and differential Lie bialgebras Liu, Jiaqi Gao, Lin Zhang, Yuanyuan Rings and Algebras Representation Theory 12H05, 17A30, 17B62, 17D99 In this paper, we first introduce the concept of Nijenhuis BiHom-Lie algebras. We then establish the equivalence relations between the Manin triples of Nijenhuis BiHom-Lie algebras, Nijenhuis BiHom-Lie bialgebras, and matched pairs of Nijenhuis BiHom-Lie algebras. Furthermore, we show that such an equivalence also holds for differential Lie bialgebras, together with their associated Manin triples and corresponding matched pairs. |
| title | Nijenhuis BiHom-Lie bialgebras and differential Lie bialgebras |
| topic | Rings and Algebras Representation Theory 12H05, 17A30, 17B62, 17D99 |
| url | https://arxiv.org/abs/2601.13791 |