SYM Paclet Symbol

MetricTensor

MetricTensor[L]
gives the metric tensor of the Lie Algebra L.

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

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

Let the Lie algebra

its metric tensor is:

Out[3]//MatrixForm=