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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• ISSN: 1815-0659
• Main Authors: Fernández Vilaboa, José Manuel, González Rodríguez, Ramón, Ramos Pérez, Brais
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/213189
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Twisted Post-Hopf Algebras, Twisted Relative Rota-Baxter Operators and Hopf Trusses. José Manuel Fernández Vilaboa, Ramón González Rodríguez and Brais Ramos Pérez. SIGMA 21 (2025), 024, 36 pages

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...