Geodesic
Supersymmetry classes of tensors
M. Shahryari1
1 Department of Pure Mathematics Faculty of Mathematical Sciences University of Tabriz, Tabriz, Iran
Colloquium Mathematicum, Tome 120 (2010) no. 2, pp. 267-275

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We introduce the notion of a supersymmetry class of tensors which is the ordinary symmetry class of tensors with a natural ${\mathbb Z}_2$-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.
DOI : 10.4064/cm120-2-7
Keywords: introduce notion supersymmetry class tensors which ordinary symmetry class tensors natural mathbb gradation dimensions even odd parts gradation their natural bases necessary sufficient condition odd even part supersymmetry class zero

M. Shahryari 1

1 Department of Pure Mathematics Faculty of Mathematical Sciences University of Tabriz, Tabriz, Iran 
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M. Shahryari. Supersymmetry classes of tensors. Colloquium Mathematicum, Tome 120 (2010) no. 2, pp. 267-275. doi: 10.4064/cm120-2-7

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