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arXiv · 1806.06316

Acceptable compact Lie groups

Jun Yu
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Abstract

In this paper we show that for a connected compact Lie group to be acceptable it is necessary and sufficient that its derived subgroup is isomorphic to a direct product of the groups $\SU(n)$, $\Sp(n)$, $\SO(2n+1)$, $\G_2$, $\SO(4)$. We show that there are invariant functions on $\SO_{4}(\mathbb{C})^{2}$ which are not generated by 1-argument invariants, though the group $\SO_{4}(\mathbb{C})$ is acceptable.

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Jun Yu. 2018-06-17. Acceptable compact Lie groups. https://arxiv.org/abs/1806.06316

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