Structures and comodules of Hom-post Lie coalgebras
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866918335775506432 |
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| author | Houndedji, Damien Bakayoko, Ibrahima |
| author_facet | Houndedji, Damien Bakayoko, Ibrahima |
| contents | In this paper, we introduce the notions of Hom-tridendriform coalgebras and Hom-post-Lie coalgebras as the dual notions of Hom-tridendriform algebras and Hom-post-LIe algebras respectively. We give some properties related to them. Then, we study the relationships between them and their connection with post-Hom-Poisson coalgebras. Next, using the Yau stwisting in the modules case, we give some constructions of comodules over post-Hom-Lie coalgebras by twisting either the comodule structures or post-Hom-Lie coalgebra structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_12671 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Structures and comodules of Hom-post Lie coalgebras Houndedji, Damien Bakayoko, Ibrahima Rings and Algebras 16T15, 16W10, 17B61 In this paper, we introduce the notions of Hom-tridendriform coalgebras and Hom-post-Lie coalgebras as the dual notions of Hom-tridendriform algebras and Hom-post-LIe algebras respectively. We give some properties related to them. Then, we study the relationships between them and their connection with post-Hom-Poisson coalgebras. Next, using the Yau stwisting in the modules case, we give some constructions of comodules over post-Hom-Lie coalgebras by twisting either the comodule structures or post-Hom-Lie coalgebra structures. |
| title | Structures and comodules of Hom-post Lie coalgebras |
| topic | Rings and Algebras 16T15, 16W10, 17B61 |
| url | https://arxiv.org/abs/2602.12671 |