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The subspaces and orthonormal bases of symmetry classes of tensors. (English) Zbl 0751.15013
Some methods for constructing orthonormal bases of the symmetry classes of tensors are given and a set of theorems is proved showing how to construct an orthonormal basis of a given unitary, irreducible representation of $$G$$, where $$G$$ is the subgroup of the full symmetric group of tensors. Several examples for constructing orthonormal bases of symmetry classes of tensors are also worked out numerically.

##### MSC:
 15A72 Vector and tensor algebra, theory of invariants
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##### References:
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