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2 Lie algebras and breadth
 2.1 Breadth
 2.2 Lie Breadth

2 Lie algebras and breadth

2.1 Breadth

2.1-1 LieClass
‣ LieClass( L )( attribute )

Computes the class of the nilpotent Lie algebra \(L\).

2.1-2 LieType
‣ LieType( L )( attribute )

Computes the type of the nilpotent Lie algebra \(L\).

2.1-3 IsOfMaximalClass
‣ IsOfMaximalClass( L )( property )

Returns: true or false

Returns whether the nilpotent Lie algebra \(L\) is of maximal class or not.

2.1-4 StructureMatrices
‣ StructureMatrices( L )( attribute )

Computes the structure matrices of the nilpotent Lie algebra \(L\).

2.1-5 BasisLieCenter
‣ BasisLieCenter( L )( attribute )

Returns the elements of the basis Lie algebra \(L\) that are contained in the center of \(L\).

2.1-6 BasisLieDerived
‣ BasisLieDerived( L )( attribute )

Returns the elements of the basis Lie algebra \(L\) that are contained in the derived subalgebra of \(L\).

2.1-7 LieAdjointMatrix
‣ LieAdjointMatrix( L )( attribute )

Computes the adjoint matrix of the Lie algebra \(L\).

2.1-8 PrintLiePresentation
‣ PrintLiePresentation( L )( attribute )

Prints the Lie presentation of the Lie algebra \(L\).

2.2 Lie Breadth

2.2-1 InfoLieBreadth
‣ InfoLieBreadth( info class )

Info class for the functions of the breadth of Lie algebras.

2.2-2 LieBreadth
‣ LieBreadth( L )( attribute )

Computes the breadth of the Lie algebra \(L\).

2.2-3 IsTrueClassBreadth
‣ IsTrueClassBreadth( L )( property )

Returns: true or false

Returns whether the Lie algebra \(L\) holds the class-breadth conjecture or not.

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