arXiv:1101.0053 Abstract | arXiv Analytics

arXiv:1101.0053 [math.RT]Abstract References Reviews Resources

On stability of diagonal actions and tensor invariants

Published 2010-12-30, updated 2011-01-07Version 2

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.

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

Categories: math.RT, math.AG, math.CO

Subjects: 13A50, 14L24, 14R20, 22E46

Keywords: diagonal actions, tensor invariants, invariant tensors, simply connected semisimple algebraic group, affine algebraic varieties

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