Matchete`
Matchete`

RepresentationsUpToDimension

RepresentationsUpToDimension[alg,n]

returns a list with all representations with dimensions ≤ n.

Details and Options

  • Each entry in the output is a list contains the dimension of each representation in addition to the Dynkin coefficient labeling the representation.
  • 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)

All representations of A2/ SU(3) with dimension less than 20:

For instance, the entry {6, {2, 0}} is a representation of dimension 6 with Dynkin coefficients {2, 0}. This is the two-index symmetric representation of SU(3).

Tech Notes
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  • Group Magic