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On the Orthogonal Basis of Symmetry Classes of Tensors

✍ Scribed by M.A Shahabi; K Azizi; M.H Jafari

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 85 KB
Volume: 237
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8332

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✦ Synopsis

A necessary and sufficient condition for the existence of the orthogonal basis of decomposable symmetrized tensors for the symmetry classes of tensors associated with dicyclic group and dihedral group were studied by M. R. Darafsheh and M. R.

Ž . Pournaki in press, Linear and Multilinear Algebra and R. R. Holmes and T. Y.

Ž . Tam 1992, Linear and Multilinear Algebra 32, 21᎐31 . These authors used a certain permutation structure of these groups to prove the necessary condition. In this article we show that the necessary condition found in these previous works is independent of the permutation structures of these groups.

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