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DirectSum

DirectSum[ideal1, ..., idealn]
is a special symbol for the Direct Sum, , between two or more ideals of a Lie Algebra.
  • The ideali can be any symbol. Specifically, in the context of the theory of Lie algebras, they can be lists of differential operators representing a base which spans a Lie algebra, semi-direct sums of ideals or, using the symbolic representation of a Lie Algebra included in the Lie Algebra's database.
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Basic Examples   (5)
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A purely symbolic direct sum:
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A direct sum between two known Lie Algebras:
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A direct sum between two ideals given by a representation using diferential operators:
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A direct sum including a semi-direct one:
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Any combination of the above choices is also possible:
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