Abstract
A general structure combining Grassmann, Clifford and tensor products is presented. The r-fold multivectors provide the basis for the natural extension of Grassmann and Clifford algebras when several geometric entities are multilinearly related. Any tensor can be organized and understood as an r-fold multivector when its antisymmetries are taken into account. The r-fold Clifford algebra is contrasted with the multiparticle geometric algebra. The application of r-fold Clifford algebra to the study of superenergy tensors in physics is shown to provide their simplest definition. In addition, it constitutes a most efficient tool for obtaining and proving their essential properties, such as dominant positivity and conditions for their conservation.
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Pozo, J.M., Parra, J.M. (2004). r-Fold Multivectors and Superenergy. In: Abłamowicz, R. (eds) Clifford Algebras. Progress in Mathematical Physics, vol 34. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2044-2_33
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DOI: https://doi.org/10.1007/978-1-4612-2044-2_33
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