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On the orthogonal basis of the symmetry classes of tensors associated with the dicyclic group. (English) Zbl 0964.20006
The authors give a necessary and sufficient condition for the existence of orthogonal bases of decomposable symmetrized tensors for the symmetry classes of tensors associated with the dicylic group. In particular, those conditions are applied to the generalized quaternion group, for which the dimensions of the symmetry classes of tensors are computed.

20C30 Representations of finite symmetric groups
15A69 Multilinear algebra, tensor calculus
Full Text: DOI
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