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

• Дата: 2004
• Автори: Blackmore, D., Prykarpatsky, A. K., Samoilenko, A. M., Блекмор, Д., Прикарпатський, А. К., Самойленко, А. М.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2004
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3730
• Назва журналу: 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...