Matchete`
Matchete`

DualRepresentation

DualRepresentation[alg,rep]

returns the Dynkin coefficients of the dual representation to rep.

Details and Options

  • A representation is self-dual in case the representation is real or pseudoreal.
  • 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 dual representation of the fundamental representation of SU(3)/A2 (note the use of SU[3] as short-hand for the algebra):

{1, 0} is the Dynkin coefficients of the (highest weight of the) fundamental representation of SU(3).

Tech Notes
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  • Group Magic