On the Lie algebra structures connected with Hamiltonian dynamical systems

• Дата: 1997
• Автори: Smirnov, R. G., Смирнов, Р. Г.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1997
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/5051
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We construct the hierarchies of master symmetries constituting Virasoro-type algebras for the Hamiltonian vector fields preserving a recursion operator. Similarly, repeatedly contracting a Hamiltonian vector field with the corresponding recursion operator, we define an Abelian Lie algebra of the thu...