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3 Automorphism groups and isomorphism testing
 3.1 Calculation of automorphism groups
 3.2 Isomorphism testing

3 Automorphism groups and isomorphism testing

3.1 Calculation of automorphism groups

3.1-1 AutomorphismGroupOfLieAlgebra
‣ AutomorphismGroupOfLieAlgebra( L )( function )

Computes the automorphism group of the finite Lie algebra L.

3.2 Isomorphism testing

3.2-1 CanonicalFormOfSolvableLieAlgebra
‣ CanonicalFormOfSolvableLieAlgebra( L )( function )

Takes as input a finite solvable Lie algebra L and it returns another finite solvable Lie algebra K isomorphic to L whose structure constants are in a canonical form. Two Lie algebras L and K are isomorphic if and only if the structure constants of their canonical forms are equal.

3.2-2 AreIsomorphicLieAlgebras
‣ AreIsomorphicLieAlgebras( L, K )( function )

This function checks whether the finite Lie algebras L and K are isomorphic. The function can be really slow if L or H are not solvable.

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