Matchete`
Matchete`

RepresentationProduct

RepresentationProduct[alg, {rep1, rep2, …}]

gives an association of the representations in the product of the representations.

Details and Options

  • The resulting association uses representation Dynkin coefficients for its keys with multiplicities of the representation in the product as values.
  • The algebra argument must be a valid Alg[class, n] object.
  • Representations are labeled with a list of integers corresponding to the Dynkin coefficients of the highest weight in the representation.

Examples

Basic Examples  (1)

The representations in the product of a fundamental, an anti-fundamental and two adjoint representations of SU(3)/A2 (note the use of SU[3] as short-hand for the algebra):

In particular, there are three singlets ({0, 0}) in the product.

Tech Notes
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  • Group Magic