MultiplicationTable(LieAlgebraName, keyword) displays the form of structure equations for the Lie algebra dictated by the keyword.

If the keyword is "LieBracket", then the Lie brackets [ei, ej] of the basis elements [e1, e2, ... eN] are displayed in a two dimensional array.  

If the keyword is "ExteriorDerivative", then the exterior derivatives d(thetai) of the dual basis elements [theta1, theta2, ... thetaN] are printed.

If the keyword is "LieDerivative", then the Lie derivatives L_(ei) thetaj of the dual 1-forms [theta1, theta2, ... thetaN] with respect to the basis vectors [e1, e2, ...eN] are displayed in a two dimensional array.

If LieAlgebraName is omitted, then the appropriate multiplication table of the current Lie algebra is displayed.

The command MultiplicationTable is part of the DifferentialGeometry:-LieAlgebras package.  It can be used in the form MultiplicationTable(...) only after executing the commands with(DifferentialGeometry) and with(LieAlgebras), but can always be used by executing DifferentialGeometry:-LieAlgebras:-MultiplicationTable(...).