%0 Journal Article
%T On stability of diagonal actions and tensor invariants
%A Artem Anisimov
%J Mathematics
%D 2010
%I arXiv
%X For a connected simply connected semisimple algebraic group $G$ we prove existence of invariant tensors in tensor powers of rational $G$-modules and establish relations between existence of such invariant tensors and stability of diagonal actions of $G$ on affine algebraic varieties.
%U http://arxiv.org/abs/1101.0053v2