CommutatorTable[L] displays the commutator table and gives the stucture constants for the Lie algebra L. |

CommutatorTable[L, V]displays the commutator table and gives the stucture constants for the subalgebra V of the Lie algebra L. |

CommutatorTable[L, rules]displays the commutator table for Lie algebra L using the indexes provided by the set rules. |

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

- The Lie algebra
*L*can be provided either from its structure constants or their infinitesimal generator representation.

- The Lie subalgebra
*V*is expressed by a span of base elements represented using the symbol X.

- The optional argument
*rules*consist of a list rules that denote each element on what element of the original Lie algebra correspond. If ommitted, the base elemets will be re-indexed accordingly.

- The following options can be given :

note that by ommiting the second argument the base elements that span this subalagbera were reindexed. To obtain the commutator table with respect to the original Lie algebra one has to give: |