@article{gledocs_11858_10926,
author = {Fabrykiewicz, Piotr},
title = {A note on the wedge reversion antisymmetry operation and 51 types of physical quantities in arbitrary dimensions},
year = {2023-06-05},
volume = {79},
number = {4},
pages = {381-384},
publisher = {International Union of Crystallography},
publisher = {5 Abbey Square, Chester, Cheshire CH1 2HU, England},

abstract = {<p xmlns:mml="http://www.w3.org/1998/Math/MathML" xml:lang="en">The paper by Gopalan [<ext-link ext-link-type="uri" xlink:href="http://scripts.iucr.org/cgi-bin/paper?ib5086">(2020). <italic>Acta Cryst.</italic> A<bold>76</bold>, 318–327</ext-link>] presented an enumeration of the 41 physical quantity types in non‐relativistic physics, in arbitrary dimensions, based on the formalism of Clifford algebra. Gopalan considered three antisymmetries: spatial inversion, <overline>1</overline>, time reversal, 1′, and wedge reversion, 1<sup>†</sup>. A consideration of the set of all seven antisymmetries (<overline>1</overline>, 1′, 1<sup>†</sup>, 1′<sup>†</sup>, <overline>1</overline><sup>†</sup>, <overline>1</overline>′, <overline>1</overline>′<sup>†</sup>) leads to an extension of the results obtained by Gopalan. It is shown that there are 51 types of physical quantities with distinct symmetry properties in total.</p>},
note = { \url {http://resolver.sub.uni-goettingen.de/purl?gldocs-11858/10926}},
}