Supersymmetry classes of tensors

Volume 120 / 2010

M. Shahryari Colloquium Mathematicum 120 (2010), 267-275 MSC: Primary 15A69; Secondary 20C15. DOI: 10.4064/cm120-2-7


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.


  • M. ShahryariDepartment of Pure Mathematics
    Faculty of Mathematical Sciences
    University of Tabriz, Tabriz, Iran

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