Supersymmetry classes of tensors
Volume 120 / 2010
Colloquium Mathematicum 120 (2010), 267-275
MSC: Primary 15A69; Secondary 20C15.
DOI: 10.4064/cm120-2-7
Abstract
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.
