Symmetry classes of tensors associated with the semi-dihedral groups $SD_{8n}$
Volume 131 / 2013
Colloquium Mathematicum 131 (2013), 59-67
MSC: Primary 20C30; Secondary 15A69.
DOI: 10.4064/cm131-1-6
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.
