On the orthogonal basis of the symmetry classes of tensors associated with the dicyclic group. (English) Zbl 0964.20006

Darafsheh, M. R.; Pournaki, M. R.

Linear Multilinear Algebra 47, No. 2, 137-149 (2000).

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.

Reviewer: A.Khammash (Makkah)

MSC:

20C30	Representations of finite symmetric groups
15A69	Multilinear algebra, tensor calculus

Keywords:

orthogonal bases; decomposable symmetrized tensors; symmetry classes of tensors; dicylic groups; generalized quaternion groups

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