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

Konstantin Aleshkin; Anton Izosimov

doi:10.4171/lem/62-1/2-9

JournalslemVol. 62, No. 1/2pp. 143–170

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
- MathSciNet
- zbMATH Open
Anton Izosimov
University of Toronto, Canada

Download PDF

Abstract

We study integrable Euler equations on the Lie algebra $gl (3, R)$ 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