On Rank of Multivectors in Geometric Algebras
Mathematical Physics
2025-10-03 v2 math.MP
Rings and Algebras
Abstract
We introduce the notion of rank of multivector in Clifford geometric algebras of arbitrary dimension without using the corresponding matrix representations and using only geometric algebra operations. We use the concepts of characteristic polynomial in geometric algebras and the method of SVD. The results can be used in various applications of geometric algebras in computer science, engineering, and physics.
Keywords
Cite
@article{arxiv.2412.02681,
title = {On Rank of Multivectors in Geometric Algebras},
author = {D. S. Shirokov},
journal= {arXiv preprint arXiv:2412.02681},
year = {2025}
}
Comments
11 pages