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Abstract : Consideration of the branching rules associated with the embedding of Lh in Lg leads to a method for the determination of the related plethysms { λ } ⊗ { μ }. The embedding is defined by the correspondence between the basis states of the representations { 1 } and { λ } of L g and Lh. These basis states are specified by weights, and the branching rules are determined by carrying out mappings between the weight spaces of the groups. Maximum use is made of the Weyl symmetry to establish an algorithm which has been used to calculate a large number of plethysms.

Keywords : group theory





Author: R.C. King S.P.O. Plunkett

Source: https://hal.archives-ouvertes.fr/



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