Parabolic contractions of semisimple Lie algebras and their invariants

Dmitri Panyushev, Oksana Yakimova

Let $G$ be a connected semisimple algebraic group with Lie algebra $g$ and $P$ a parabolic subgroup of $G$ with $Lie(P)=p$. The parabolic contraction of $g$ is the semi-direct prod…