Jordan Algebras of Symmetric Matrices
Rings and Algebras
2021-10-19 v2 Algebraic Geometry
Abstract
We study linear spaces of symmetric matrices whose reciprocal is also a linear space. These are Jordan algebras. We classify such algebras in low dimensions, and we study the associated Jordan loci in the Grassmannian.
Cite
@article{arxiv.2010.00277,
title = {Jordan Algebras of Symmetric Matrices},
author = {Arthur Bik and Henrik Eisenmann and Bernd Sturmfels},
journal= {arXiv preprint arXiv:2010.00277},
year = {2021}
}
Comments
16 pages