Differential Antisymmetric Infinitesimal Bialgebras, Coherent Derivations and Poisson Bialgebras

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• ISSN: 1815-0659
• Main Authors: Lin, Yuanchang, Liu, Xuguang, Bai, Chengming
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211866
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Differential Antisymmetric Infinitesimal Bialgebras, Coherent Derivations and Poisson Bialgebras. Yuanchang Lin, Xuguang Liu and Chengming Bai. SIGMA 19 (2023), 018, 47 pages

We establish a bialgebra theory for differential algebras, called differential antisymmetric infinitesimal (ASI) bialgebras, by generalizing the study of ASI bialgebras to the context of differential algebras, in which the derivations play an important role. They are characterized by double construc...