On stability of diagonal actions and tensor invariants

Details On stability of diagonal actions and tensor invariants On stability of diagonal actions and tensor invariants

2010-12-30

arxiv.org/abs/1101.0053v2

Mathematics

Representation Theory

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

Scientific paper

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.

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