Geodesic
Symmetry classes of tensors associated with the semi-dihedral groups $SD_{8n}$
Mahdi Hormozi1 ; Kijti Rodtes2
1 Department of Mathematical Sciences Division of Mathematics Chalmers University of Technology and University of Gothenburg Gothenburg 41296, Sweden
2 Department of Mathematics Faculty of Science Naresuan University Phitsanulok 65000, Thailand
Colloquium Mathematicum, Tome 131 (2013) no. 1, pp. 59-67.

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

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.
DOI : 10.4064/cm131-1-6
Keywords: discuss existence orthogonal basis consisting decomposable vectors symmetry classes tensors associated semi dihedral groups particular necessary sufficient condition existence basis associated degree characters given

Mahdi Hormozi 1 ; Kijti Rodtes 2

1 Department of Mathematical Sciences Division of Mathematics Chalmers University of Technology and University of Gothenburg Gothenburg 41296, Sweden
2 Department of Mathematics Faculty of Science Naresuan University Phitsanulok 65000, Thailand 
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Mahdi Hormozi; Kijti Rodtes. Symmetry classes of tensors associated with the semi-dihedral groups $SD_{8n}$. Colloquium Mathematicum, Tome 131 (2013) no. 1, pp. 59-67. doi : 10.4064/cm131-1-6. http://geodesic.mathdoc.fr/articles/10.4064/cm131-1-6/

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