We introduce the notion of a supersymmetry class of tensors which is the ordinary symmetry class of tensors with a natural ℤ₂-gradation. We give the dimensions of even and odd parts of this gradation as well as their natural bases. Also we give a necessary and sufficient condition for the odd or even part of a supersymmetry class to be zero.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm120-2-7,
author = {M. Shahryari},
title = {Supersymmetry classes of tensors},
journal = {Colloquium Mathematicae},
volume = {120},
year = {2010},
pages = {267-275},
zbl = {1217.15037},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm120-2-7}
}
M. Shahryari. Supersymmetry classes of tensors. Colloquium Mathematicae, Tome 120 (2010) pp. 267-275. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm120-2-7/