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arXiv · 2402.16704

Twisted Post-Hopf Algebras, Twisted Relative Rota-Baxter Operators and Hopf Trusses

José Manuel Fernández Vilaboa·Ramón González Rodríguez·Brais Ramos Pérez
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Abstract

The present article is devoted to studying the categorical relationships between the categories of Hopf trusses, weak twisted post-Hopf algebras, introduced by Wang (2023), and weak twisted relative Rota-Baxter operators. The latter objects are a generalisation of the relative Rota-Baxter operators defined by Li-Sheng-Tang (2024), where the Rota-Baxter condition is modified through a cocycle. Under certain conditions, this work shows that the three aforementioned categories are equivalent.

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José Manuel Fernández Vilaboa, Ramón González Rodríguez, Brais Ramos Pérez. 2024-02-26. Twisted Post-Hopf Algebras, Twisted Relative Rota-Baxter Operators and Hopf Trusses. https://doi.org/10.3842/sigma.2025.024

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