Jordan algebras of symmetric matrices

Authors

  • A. Bik MPI for Mathematics in the Sciences, Germany
  • H. Eisenmann MPI for Mathematics in the Sciences, Germany
  • B. Sturmfels MPI for Mathematics in the Sciences, Germany

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.

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Published

2021-10-10

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Articoli