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Some results on the orthogonal basis of a symmetry class of tensors - MaRDI portal

Some results on the orthogonal basis of a symmetry class of tensors (Q2717061)

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scientific article; zbMATH DE number 1604433
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Some results on the orthogonal basis of a symmetry class of tensors
scientific article; zbMATH DE number 1604433

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    13 June 2001
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    tensors
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    groups
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    normal subgroups
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    orthogonal bases
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    symmetry classes of tensors
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    Some results on the orthogonal basis of a symmetry class of tensors (English)
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    The authors consider a function which is the Cartesian product of some functions and obtain a necessary and sufficient condition for the existence of an orthogonal basis for the symmetry class of tensors associated with this function. Moreover, they obtain a result about the relationship between the symmetry class of tensors associated with a group and its quotient by a normal subgroup.
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