Hopf algebras and integrable flows related to the Heisenberg–Weil coalgebra

• Published in: Український математичний журнал
• Date: 2004
• Main Authors: Blackmore, D, Prykarpatsky, A.K., Samoilenko, A.M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2004
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/163529
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Hopf algebras and integrable flows related to the Heisenberg–Weil coalgebra / D. Blackmore, A.K. Prykarpatsky, A.M. Samoilenko // Український математичний журнал. — 2004. — Т. 56, № 1. — С. 88–96. — Бібліогр.: 9 назв. — англ.

On the basis of the structure of Casimir elements associated with general Hopf algebras, we construct Liouville–Arnold integrable flows related to naturally induced Poisson structures on an arbitrary coalgebra and their deformations. Some interesting special cases, including coalgebra structures rel...