Symmetry classes of tensors associated with the semi-dihedral groups S D 8 n

Mahdi Hormozi; Kijti Rodtes

Colloquium Mathematicae (2013)

  • Volume: 131, Issue: 1, page 59-67
  • ISSN: 0010-1354

Abstract

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We discuss the existence of an orthogonal basis consisting of decomposable vectors for all symmetry classes of tensors associated with semi-dihedral groups S D 8 n . In particular, a necessary and sufficient condition for the existence of such a basis associated with S D 8 n and degree two characters is given.

How to cite

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Mahdi Hormozi, and Kijti Rodtes. "Symmetry classes of tensors associated with the semi-dihedral groups $SD_{8n}$." Colloquium Mathematicae 131.1 (2013): 59-67. <http://eudml.org/doc/283851>.

@article{MahdiHormozi2013,
abstract = {We discuss the existence of an orthogonal basis consisting of decomposable vectors for all symmetry classes of tensors associated with semi-dihedral groups $SD_\{8n\}$. In particular, a necessary and sufficient condition for the existence of such a basis associated with $SD_\{8n\}$ and degree two characters is given.},
author = {Mahdi Hormozi, Kijti Rodtes},
journal = {Colloquium Mathematicae},
keywords = {symmetry classes of tensors; orthogonal bases; semi-dihedral groups; irreducible characters; permutation groups},
language = {eng},
number = {1},
pages = {59-67},
title = {Symmetry classes of tensors associated with the semi-dihedral groups $SD_\{8n\}$},
url = {http://eudml.org/doc/283851},
volume = {131},
year = {2013},
}

TY - JOUR
AU - Mahdi Hormozi
AU - Kijti Rodtes
TI - Symmetry classes of tensors associated with the semi-dihedral groups $SD_{8n}$
JO - Colloquium Mathematicae
PY - 2013
VL - 131
IS - 1
SP - 59
EP - 67
AB - We discuss the existence of an orthogonal basis consisting of decomposable vectors for all symmetry classes of tensors associated with semi-dihedral groups $SD_{8n}$. In particular, a necessary and sufficient condition for the existence of such a basis associated with $SD_{8n}$ and degree two characters is given.
LA - eng
KW - symmetry classes of tensors; orthogonal bases; semi-dihedral groups; irreducible characters; permutation groups
UR - http://eudml.org/doc/283851
ER -

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