Information Geometry, Jordan Algebras, and a Coadjoint Orbit-Like Construction

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2023
• Hauptverfasser: Ciaglia, Florio M., Jost, Jürgen, Schwachhöfer, Lorenz J.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2023
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/212006
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Information Geometry, Jordan Algebras, and a Coadjoint Orbit-Like Construction. Florio M. Ciaglia, Jürgen Jost and Lorenz J. Schwachhöfer. SIGMA 19 (2023), 078, 27 pages

Jordan algebras naturally arise in (quantum) information geometry, and we aim to understand their role and structure within this framework. Inspired by Kirillov's discussion of the symplectic structure on coadjoint orbits, we provide a similar construction in the case of real Jordan algebras. G...