Open Access
January 2001 On the existence of the orthogonal basis of the symmetry classes of tensors associated with certain groups
M.R. Darafsheh, N.S. Poursalavati
Author Affiliations +
SUT J. Math. 37(1): 1-17 (January 2001). DOI: 10.55937/sut/1017153423

Abstract

We discuss the existence of an orthogonal basis consisting of decomposable vectors for some symmetry classes of tensors associated with certain subgroups of the full symmetric group. The dimensions of these symmetry classes of tensors are also computed.

Acknowledgement

The authors would like to thank the referee for his valuable comments which improved the present paper.

Citation

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M.R. Darafsheh. N.S. Poursalavati. "On the existence of the orthogonal basis of the symmetry classes of tensors associated with certain groups." SUT J. Math. 37 (1) 1 - 17, January 2001. https://doi.org/10.55937/sut/1017153423

Information

Received: 28 February 2000; Revised: 10 January 2001; Published: January 2001
First available in Project Euclid: 18 June 2022

Digital Object Identifier: 10.55937/sut/1017153423

Subjects:
Primary: 15A69 , 20C30

Keywords: orthogonal basis , symmetry classes , tensors

Rights: Copyright © 2001 Tokyo University of Science

Vol.37 • No. 1 • January 2001
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