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Example 1.
Define the standard representation and the adjoint representation for . Then form the direct sum representation. First, setup the representation spaces.
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V1 >
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V2 >
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W1 >
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Define the standard representation.
W2 >
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W2 >
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sl2 >
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Define the adjoint representation.
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Define the direct sum representation of and
sl2 >
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sl2 >
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Define the direct sum of 3 copies of .
sl2 >
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sl2 >
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