International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 20672, 10 pages
doi:10.1155/2007/20672
Research Article
Expression of a Tensor Commutation Matrix in Terms of the Generalized Gell-Mann Matrices
Département du Génie Civil, Institut Supérieur de Technologie d'Antananarivo (IST-T), BP 8122, Madagascar
Received 11 December 2006; Accepted 13 February 2007
Academic Editor: Howard E. Bell
Copyright © 2007 Rakotonirina Christian. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We have expressed the tensor commutation matrix n⊗n as linear combination of the tensor products of the generalized Gell-Mann matrices. The tensor commutation matrices 3⊗2 and 2⊗3 have been expressed in terms of the classical Gell-Mann matrices and the Pauli matrices.