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

preprint2015arXivOpen access

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

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

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