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Example 1.
First we initialize a 5 dimensional Lie algebra.
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Display the Lie bracket multiplication table.
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| (2.1) |
Display the exterior derivatives of the dual 1-forms.
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| (2.2) |
Display the Lie derivatives of the dual 1-forms.
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Example 2.
We initialize a 4 dimensional Lie algebra. Instead of using the standard default labels for the basis vectors we use and for the dual 1-forms we use .
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Display the Lie bracket multiplication table.
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| (2.3) |
Display the exterior derivatives of the dual 1-forms.
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| (2.4) |
Display the Lie derivatives of the dual 1-forms.
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Example 3.
We initialize the quaternions and display the multiplication table.
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| (2.5) |
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