SYM Paclet Symbol

AdjointRepresentation

AdjointRepresentation[L]
gives the adjoint representation (or adjoint action) of the Lie group given by its Lie Algebra L over L.

To use AdjointRepresentation, 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.

whether to print the table of the adjoint action of the Lie group

AdjointRepresentation prints the table of the adjoint action between the base elements of the Lie algebra and returns the structure constants of this table. Option ShowTable can be used to suppress printing the table.

Let the Lie algebra:

the adjoint representation of its Lie group is:

Out[3]=