Hopf Algebras and Integrable Flows Related to the Heisenberg–Weil Coalgebra

• Date: 2004
• Main Authors: Blackmore, D., Prykarpatsky, A. K., Samoilenko, A. M., Блекмор, Д., Прикарпатський, А. К., Самойленко, А. М.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2004
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3730
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...