Induced bases of symmetry classes of tensors |
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Authors: | Russell Merris |
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Affiliation: | California State University Hayward, California 94542 USA |
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Abstract: | Let Vm? denote the mth tensor power of the finite dimensional complex vector space V. Let Vχ(G)?Vm? be the symmetry class of tensors corresponding to the permutation group G and the irreducible character χ of G. Each basis of V induces, in a natural way, a basis of Vm?. The article considers the corresponding problem of inducing bases of Vχ(G). |
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