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FindAllSubalgebras

FindAllSubalgebras[L]
gives all the possible subalgebras of the Lie Algebra L.
  • The Lie algebra L can be provided either from their structure constants or their infinitesimal generator representation.
  • Depending of the input, FindAllSubalgebras will return a list of the bases that spans the subalgebras either by using the representation provided or the syntax for the subspaces using the symbol X.
  • Depending on the dimension of the Lie algebra provided, the task of finding all the possible subalgebras might tax the computer's resources and take a considerable amount of time to complete.
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Basic Examples   (2)
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Let the Lie algebra
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This Lie algbera has 34 subalgebras:
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Let the Lie algebra be given by its structure constants:
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the subalgebras of this Lie algbera are represented:
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