Symmetry classes of tensors associated with the semi-dihedral groups $SD_{8n}$

Mahdi Hormozi; Kijti Rodtes

Symmetry classes of tensors associated with the semi-dihedral groups

S D_{8 n}

Mahdi Hormozi ; Kijti Rodtes

Colloquium Mathematicae, Tome 131 (2013), p. 59-67 / Harvested from The Polish Digital Mathematics Library

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Résumé

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.

Publié le : 2013-01-01

Zbl 1279.20016

EUDML-ID : urn:eudml:doc:283851

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     author = {Mahdi Hormozi and Kijti Rodtes},
     title = {Symmetry classes of tensors associated with the semi-dihedral groups $SD\_{8n}$
            },
     journal = {Colloquium Mathematicae},
     volume = {131},
     year = {2013},
     pages = {59-67},
     zbl = {1279.20016},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm131-1-6}
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Mahdi Hormozi; Kijti Rodtes. Symmetry classes of tensors associated with the semi-dihedral groups $SD_{8n}$
            . Colloquium Mathematicae, Tome 131 (2013) pp. 59-67. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm131-1-6/