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Varieties of Signature Tensors

1 Pith paper cite this work, alongside 15 external citations. Polarity classification is still indexing.

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Piecewise Symmetric Tensors

math.RT · 2026-07-06 · accept · novelty 7.0

Every k-tensor is the unique sum of an m-piecewise-symmetric tensor and a (k-m)-piecewise-alternating tensor; the latter space is the annihilator of level-k signatures of m-segment paths.

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  • Piecewise Symmetric Tensors math.RT · 2026-07-06 · accept · none · ref 53

    Every k-tensor is the unique sum of an m-piecewise-symmetric tensor and a (k-m)-piecewise-alternating tensor; the latter space is the annihilator of level-k signatures of m-segment paths.