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LieTypes :: LieAlgebra ++ LieAlgebra

LieAlgebra ++ LieAlgebra -- Take the direct sum of Lie algebras

Synopsis

Description

Starting from simple Lie algebras, one can take direct sums and produce semi-simple ones:

i1 : g=simpleLieAlgebra("D",4);
i2 : h=simpleLieAlgebra("G",2);
i3 : g++h

o3 = 𝔡  ++ 𝔤
      4     2

o3 : LieAlgebra
i4 : directSum(g,g,h)

o4 = 𝔡  ++ 𝔡  ++ 𝔤
      4     4     2

o4 : LieAlgebra

Ways to use this method: