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{c}
{title2=$\mathfrak{so}_6(\mathbb C)\cong\mathfrak{sl}_4(\mathbb C)$}

The root-system isomorphism $D_3\cong A_3$ and the classification of complex simple Lie algebras give $\mathfrak{so}_6(\mathbb C)\cong\mathfrak{sl}_4(\mathbb C)$.


Isomorphism between so6 and sl4

Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 102 / 3 / b / v / Solution

Isomorphism between so6 and sl4 ( $so_{6} (C) ≅ sl_{4} (C)$ )

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Isomorphism between so6 and sl4 (so6​(C)≅sl4​(C))

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Isomorphism between so6 and sl4 ( $so_{6} (C) ≅ sl_{4} (C)$ )

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