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Tensor polynomial identities

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arxiv 2011.04362 v1 pith:D7KHD6IB submitted 2020-11-09 math.RA

Felix Huber , Claudio Procesi This is my paper · ORCID
classification math.RA
keywords identitiestensorpolynomialalternatingarbitraryassociatedcertaincharacterize
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abstract

Tensor polynomial identities generalize the concept of polynomial identities on $d \times d$ matrices to identities on tensor product spaces. Here we completely characterize a certain class of tensor polynomial identities in terms of their associated Young tableaux. Furthermore, we provide a method to evaluate arbitrary alternating tensor polynomials in $d^2$ variables.

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