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On invariants of a set of elements of a semisimple Lie algebra

Ivan V. Losev
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Abstract

Let $G$ be a complex reductive algebraic group, $g$ its Lie algebra and $h$ a reductive subalgebra of $g$, $n$ a positive integer. Consider the diagonal actions $G:g^n, N_G(h):h^n$. We study a relation between the algebra $C[h^n]^{N_G(h)}$ and its subalgebra consisting of restrictions to $h^n$ of elements of $C[g^n]^G$.

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Ivan V. Losev. 2005-12-23. On invariants of a set of elements of a semisimple Lie algebra. https://arxiv.org/abs/math/0512538

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