Supersymmetry classes of tensors

M. Shahryari. "Supersymmetry classes of tensors." Colloquium Mathematicae 120.2 (2010): 267-275. <http://eudml.org/doc/284102>.

@article{M2010,
abstract = {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.},
author = {M. Shahryari},
journal = {Colloquium Mathematicae},
keywords = {gradation; symmetry classes of tensors; characters of finite groups},
language = {eng},
number = {2},
pages = {267-275},
title = {Supersymmetry classes of tensors},
url = {http://eudml.org/doc/284102},
volume = {120},
year = {2010},
}

TY - JOUR
AU - M. Shahryari
TI - Supersymmetry classes of tensors
JO - Colloquium Mathematicae
PY - 2010
VL - 120
IS - 2
SP - 267
EP - 275
AB - 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.
LA - eng
KW - gradation; symmetry classes of tensors; characters of finite groups
UR - http://eudml.org/doc/284102
ER -