R. Merris and W. Watkins, Elementary divisors of induced transformations on symmetry classes of tensors, Linear Algebra Appl. 38 (1981), 17-26. AMS Notices 25 (1978), A-693. Math Reviews 83j: 15022. The research of the first author was supported by NSF Grant MCS 77-28437.

Denote by V[G,chi] the symmetry class of tensors over the vector space V associated with an irreducible character chi of the permutation group G. If T is a linear operator on V, let K(T) denote the corresponding associated operator and D(T) the derivation operator on V[G,chi]. The article is concerned with the elementary divisors of K(T) and D(T).

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