an:01462923
Zbl 0964.20006
Darafsheh, M. R.; Pournaki, M. R.
On the orthogonal basis of the symmetry classes of tensors associated with the dicyclic group
EN
Linear Multilinear Algebra 47, No. 2, 137-149 (2000).
00065201
2000
j
20C30 15A69
orthogonal bases; decomposable symmetrized tensors; symmetry classes of tensors; dicylic groups; generalized quaternion groups
The authors give a necessary and sufficient condition for the existence of orthogonal bases of decomposable symmetrized tensors for the symmetry classes of tensors associated with the dicylic group. In particular, those conditions are applied to the generalized quaternion group, for which the dimensions of the symmetry classes of tensors are computed.
A.Khammash (Makkah)