The Lie algebra of type G_2 is rational over its quotient by the adjoint action

Dave Anderson, Mathieu Florence, Zinovy Reichstein

Let G be a split simple group of type G_2 over a field k, and let g be its Lie algebra. Answering a question of Colliot-Thélène, Kunyavskiĭ, Popov, and Reichstein, we show that the…