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September 10, 2025Electronic Journal of Linear AlgebraOpen Access

Jordan and isometric cone automorphisms in Euclidean Jordan algebras

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Authors

MOMichael Orlitzky

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Overview

Analysis of the relationship between jordan-algebra automorphisms and isometries in symmetric cones.

Key Points

  • The study reveals that certain inner products allow the group of jordan-algebra automorphisms to coincide with linear cone automorphisms.
  • It identifies the conditions under which the jordan-algebra automorphisms are contained within the group of isometries.
  • Understanding the structure of symmetric cones can aid in the classification of euclidean jordan algebras.
  • These findings offer new insights into the interplay between geometrical properties and algebraic structures in Euclidean spaces.

Cite This Study

Michael Orlitzky (2025) studied this question.

synapsesocial.com/papers/68c1dd9b54b1d3bfb60fc2c4https://doi.org/10.13001/ela.2025.9437
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  5. 5On Isotropy Groups of Quantum Weyl Algebras and Jordanian Plane2024