Matrix multiplication is determined by orthogonality and trace
Rings and Algebras
2023-04-21 v1
Abstract
Any associative bilinear multiplication on the set of n-by-n matrices over some field of characteristic not two, that makes the same vectors orthogonal and has the same trace as ordinary matrix multiplication, must be ordinary matrix multiplication or its opposite.
Cite
@article{arxiv.1309.6241,
title = {Matrix multiplication is determined by orthogonality and trace},
author = {Chris Heunen and Dominic Horsman},
journal= {arXiv preprint arXiv:1309.6241},
year = {2023}
}
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4 pages