Differential Antisymmetric Infinitesimal Bialgebras, Coherent Derivations and Poisson Bialgebras

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...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2023
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
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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

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Digital Library of Periodicals of National Academy of Sciences of Ukraine