AlgebraIsomorphism

AlgebraIsomorphism[L1, L2]
gives the real linear transformation that links the two different representations of the same Lie algebra L1, L2.
AlgebraIsomorphism[L1, L2, domain]
gives the linear transformation over the domain that links the two different representations of the same Lie algebra L1, L2.
  • The two representations of the same Lie algebra L1, L2 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 returns the linear transformation which links the two Lie algberas, when one exists, or the empty set.