Tensor Permutation Matrices in Finite Dimensions
General Mathematics
2007-05-23 v2
Abstract
We have generalised the properties with the tensor product, of one 4x4 matrix which is a permutation matrix, and we call a tensor commutation matrix. Tensor commutation matrices can be constructed with or without calculus. A formula allows us to construct a tensor permutation matrix, which is a generalisation of tensor commutation matrix, has been established. The expression of an element of a tensor commutation matrix has been generalised in the case of any element of a tensor permutation matrix. Some tensor commutation matrix has been expressed by using the Gell-Mann matrices.
Keywords
Cite
@article{arxiv.math/0508053,
title = {Tensor Permutation Matrices in Finite Dimensions},
author = {Rakotonirina Christian},
journal= {arXiv preprint arXiv:math/0508053},
year = {2007}
}
Comments
22 pages