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arXiv · 2602.12671

Structures and comodules of Hom-post Lie coalgebras

Damien Houndedji·Ibrahima Bakayoko
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Abstract

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.

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Damien Houndedji, Ibrahima Bakayoko. 2026-02-13. Structures and comodules of Hom-post Lie coalgebras. https://arxiv.org/abs/2602.12671

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