Euler equations on the general linear group, cubic curves, and inscribed hexagons

  • Konstantin Aleshkin

    SISSA, Trieste, Italy and Landau Institute for Theoretical Physics, Moscow, Russia
  • Anton Izosimov

    University of Toronto, Canada

Abstract

We study integrable Euler equations on the Lie algebra by interpreting them as evolutions on the space of hexagons inscribed in a real cubic curve.

Cite this article

Konstantin Aleshkin, Anton Izosimov, Euler equations on the general linear group, cubic curves, and inscribed hexagons. Enseign. Math. 62 (2016), no. 1/2, pp. 143–170

DOI 10.4171/LEM/62-1/2-9