On stability of diagonal actions and tensor invariants

DOI10.1070/SM2012V203N04ABEH004231zbMATH Open1267.14078arXiv1101.0053OpenAlexW2963826762MaRDI QIDQ2901894

A. B. Anisimov

Publication date: 31 July 2012

Published in: Sbornik: Mathematics (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1101.0053

zbMATH Keywords

Weyl groupstable actionbalanced collection

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Group actions on affine varieties (14R20)

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