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arXiv · 1101.0053

On stability of diagonal actions and tensor invariants

Artem Anisimov
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Abstract

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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Artem Anisimov. 2011-01-07. On stability of diagonal actions and tensor invariants. https://arxiv.org/abs/1101.0053

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