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On the orthogonal basis of the symmetry classes of tensors associated with the dicyclic group |
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| Authors: | M R Darafsheh M R Pournaki |
| Institution: | Department of Mathematics and Computer Science , University of Tehran and Institute for Studies in Theoretical Physics and Mathematics , Tehran, Iran |
| Abstract: | A necessary and sufficient condition for the existence of orthogonal basis of decomposable symmetrized tensors for the symmetry classes of tensors associated with the dicyclic group is given. In particular we apply these conditions to the generalized quaternion group, for which the dimensions of the symmetry classes of tensors are computed. |
| Keywords: | Symmetry class of tensors orthogonal basis dicyclic group 2-adic valuation 1995 AMS Subject Classifications: Primary: 20C30 Secondary: 15A69 |