On the Lie algebra structures connected with Hamiltonian dynamical systems

• Datum: 1997
• Hauptverfasser: Smirnov, R. G., Смирнов, Р. Г.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1997
• Online Zugang: 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...