AlgebraIsomorphism[L_{1}, L] _{2}gives the real linear transformation that links the two different representations of the same Lie algebra L _{1}, L_{2}. |

AlgebraIsomorphism[L_{1}, L_{2}, domain]gives the linear transformation over the domain that links the two different representations of the same Lie algebra L_{1}, L_{2}. |

- To use AlgebraIsomorphism, you first need to load the SYM Package using Needs["SYM`"].

- The two representations of the same Lie algebra L
_{1}, L_{2}are given by their structure constants.

- Due to the complexity of the calculations involved, higher dimensional Lie algebras will demand a greater amount of processing power and memory.

- AlgebraIsomorphism can be used to check if two Lie algebras are the same.

- AlgebraIsomorphism returns the linear transformation which links the two Lie algberas, when one exists, or the empty set.