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

Published 6 Mar 2015 in math.RT | (1503.02028v1)

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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