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Example 1.
First initialize a Lie algebra and display the Lie bracket multiplication table.
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Compute the Killing form on the vectors and y = .
Compute the Killing form for the current Lie algebra.
Compute the Killing form restricted to the subspace span.
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Example 2.
Here is the Killing form for the Lie algebra from Example 1, given as a symmetric, covariant tensor on the Lie algebra.
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