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Clifford Algebra Approach to Superenergy Tensors

1999/11/10 by Jose M. Pozo, José M. Pozo, Pozo, Jose M. +2
Chemistry · Computer Science · Mathematics · Physics and Astronomy · #Advanced NMR Techniques and Applications #Parallel Computing and Optimization Techniques #Tensor decomposition and applications #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9911041

6 pages, LaTeX, uses ere99.sty, contribution to proceedings of ERE99, Bilbao, Sep 7th-10th

arxiv created 1999/11/10 · arxiv updated 2009/11/30

Abstract

Senovilla has recently defined an algebraic construction of a superenergy tensor TA from any arbitrary tensor A, by structuring it as an r-fold form. This superenergy tensor satisfies automatically the dominant superenergy property. We present a more compact definition using the r-direct product Clifford algebra r-Cl(p,q). This form for the superenergy tensors allows to obtain an easy proof of the dominant superenergy property valid for any dimension.

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