Vanishing of doubly symmetrized tensors (Q396785)
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scientific article; zbMATH DE number 6330268
| Language | Label | Description | Also known as |
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| English | Vanishing of doubly symmetrized tensors |
scientific article; zbMATH DE number 6330268 |
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Vanishing of doubly symmetrized tensors (English)
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14 August 2014
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Summary: Symmetrizations of tensors by irreducible characters of the symmetric group serve as natural analogues of symmetric and skew-symmetric tensors. The question of when a symmetrized decomposable tensor is non-zero is intimately related to the rank partition of a matroid extracted from the tensor. In this paper we characterize the non-vanishing of the symmetrization of certain partially symmetrized decomposable tensors. Our answers are phrased in terms of rank partitions of matroids.
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symmetrizations of tensors
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matroid
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rank partition
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0.8029069304466248
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0.7948831915855408
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0.7903733849525452
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