On stability of diagonal actions and tensor invariants
Representation Theory
2011-01-10 v2 Algebraic Geometry
Combinatorics
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.
Cite
@article{arxiv.1101.0053,
title = {On stability of diagonal actions and tensor invariants},
author = {Artem Anisimov},
journal= {arXiv preprint arXiv:1101.0053},
year = {2011}
}
Comments
12 pages. This version has its references replaced with correct ones which have been kindly suggested by V. L. Popov