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arXiv · 1503.02028

The subalgebras of $\mathfrak{so}(4,\mathbb{C})$

Andrew Douglas·Joe Repka
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Abstract

We classify the solvable subalgebras, semisimple subalgebras, and Levi decomposable subalgebras of $\mathfrak{so}(4,\mathbb{C})$, up to inner automorphism. By Levi's Theorem, this is a full classification of the subalgebras of $\mathfrak{so}(4,\mathbb{C})$.

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Andrew Douglas, Joe Repka. 2015-03-06. The subalgebras of $\mathfrak{so}(4,\mathbb{C})$. https://arxiv.org/abs/1503.02028

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