paper

On stability of diagonal actions and tensor invariants

arXiv:1101.0053

Abstract

For a connected simply connected semisimple algebraic group we prove existence of invariant tensors in tensor powers of rational -modules and establish relations between existence of such invariant tensors and stability of diagonal actions of on affine algebraic varieties.

12 pages. This version has its references replaced with correct ones which have been kindly suggested by V. L. Popov

On stability of diagonal actions and tensor invariants · wovepaper