%0 Journal Article
%T Irreducibility of G-varieties defined by quadrics
%A Cesar Massri
%J Mathematics
%D 2012
%I arXiv
%X Let $\mathfrak{g}$ be a complex semisimple Lie algebra, $G$ a simply connected and connected Lie group with Lie algebra $\mathfrak{g}$ and $V$ a finite dimensional representation. We prove that the zero locus of quadrics containing $G.y$ is an irreducible variety in $\PP V$.
%U http://arxiv.org/abs/1202.5531v3