Special bases for the vector space of square matrices
Rings and Algebras
2012-05-17 v1
Abstract
We describe families of complete orthogonal bases of full rank matrices which span the vector spaces of square matrices. The proposed bases generalise non-trivially the Pauli matrice while shedding light on their algebraic properties. Finally we introduce the notion k -pseudo-closure for orthogonal bases spanning vector subspaces of square matrices and discuss their connections with hadamard matrices.
Cite
@article{arxiv.1205.3673,
title = {Special bases for the vector space of square matrices},
author = {Edinah K. Gnang},
journal= {arXiv preprint arXiv:1205.3673},
year = {2012}
}