LieAlgebras[MinimalIdeal] - find the smallest ideal containing a given set of vectors
Calling Sequences
MinimalIdeal(S)
Parameters
S - a list of vectors in a Lie algebra
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Description
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MinimalIdeal(S) calculates the smallest ideal containing the list of vectors S.
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A list of vectors is returned.
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The command MinimalIdeal is part of the DifferentialGeometry:-LieAlgebras package. It can be used in the form MinimalIdeal(...) only after executing the commands with(DifferentialGeometry) and with(LieAlgebras), but can always be used by executing DifferentialGeometry:-LieAlgebras:-MinimalIdeal(...).
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Examples
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Example 1.
First initialize a Lie algebra and display the multiplication table.
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Alg1 >
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Find the minimal ideal containing the vectors [e1, e3].
Alg1 >
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Alg1 >
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Find the minimal ideal containing the vectors [e2, e4].
Alg1 >
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Alg1 >
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| (2.3) |
Alg1 >
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| (2.4) |
Alg1 >
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| (2.5) |
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