LieAlgebra.PrintProperties()
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LieAlgebra.PrintProperties()

Notes:
Tests if the Lie-Algebra is nilpotent, solvable, abelian, semisimple or unimodular and prints the results. Tests also if the Adjoint Representation is faithful and prints the result.

Example:

>>>Bianchi9Struct = LieStructureConstantTable(3)
>>>Bianchi9Struct.SetEntry(0,1,[0,0,1])
>>>Bianchi9Struct.SetEntry(1,2,[1,0,0])
>>>Bianchi9Struct.SetEntry(2,0,[0,1,0])
>>>Bianchi9 = LieAlgebra(3, "B9")
>>>Bianchi9.LieAlgebraByStructureConstants(Bianchi9Struct)
B9 is a Lie Algebra
>>>Bianchi9.PrintProperties()
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Properties of Lie-Algebra B9
1 0 [0, 0, -1]
2 0 [0, 1, 0]
2 1 [-1, 0, 0]
not nilpotent
unimodular
not solvable
semisimple                                                                                                                                                                  
Adjoint Representation is faithful                                                                                                                                          
#############