Simultaneous orthogonalization of inner products over arbitrary fields
Rings and Algebras
2020-12-14 v1
Abstract
We give necessary and sufficient conditions for a family of inner products in a finite-dimensional vector space over an arbitrary field to have an orthogonal basis relative to all the inner products. Some applications to evolution algebras are also considered.
Keywords
Cite
@article{arxiv.2012.06533,
title = {Simultaneous orthogonalization of inner products over arbitrary fields},
author = {Yolanda Cabrera Casado and Cristóbal Gil Canto and Dolores Martín Barquero and Cándido Martín González},
journal= {arXiv preprint arXiv:2012.06533},
year = {2020}
}
Comments
15 pages