Integrable systems associated to the filtrations of Lie algebras

Bozidar Jovanovic, Tijana Sukilovic, Srdjan Vukmirovic

In 1983 Bogoyavlenski conjectured that if the Euler equations on a Lie algebra ${\mathfrak{g}}_0$ are integrable, then their certain extensions to semisimple lie algebras $\mathfrak g…