Matchete`
Matchete`

StructureConstants

StructureConstants[alg]

returns the structure constants of the algebra.

Details and Options

  • The structure constants are returned as a rank-3 tensor (SparseArray).
  • The bases for the adjoint representation is consistent with the tensors from StructureConstants and InvariantTensors.
  • The normalization of the structure constants is consistent with DynkinIndex/Casimir2for all representations of the algebra.
  • The algebra argument must be a valid Alg[class, n] object.

Examples

Basic Examples  (1)

The structure constants of SU(2)/A1 (note the use of SU[2] as short-hand for the algebra):

This is the familiar Levi-Civita tensor of rank-3.

Tech Notes
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  • Group Magic