On the structure group of an infinite dimensional JB-algebra

DOI10.1016/j.jalgebra.2023.02.003OpenAlexW4319773243MaRDI QIDQ2693353

José Luna, Gabriel Larotonda

Publication date: 20 March 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.05320

zbMATH Keywords

automorphism groupBanach-Lie groupJordan algebrastructure groupJB-algebraquadratic representation

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Group structures and generalizations on infinite-dimensional manifolds (58B25) Structure theory for Jordan algebras (17C10)

Related Items

Information geometry, Jordan algebras, and a coadjoint orbit-like construction

Cites Work

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• On different definitions of numerical range
• A mathematical introduction to conformal field theory. Based on a series of lectures given at the Mathematisches Institut der Universität Hamburg
• Automorphism groups of Jordan C*-algebras
• Jordan algebras and symmetric Siegel domains in Banach spaces
• Linear algebraic groups in infinite dimensions
• A Gelfand-Neumark theorem for Jordan algebras
• A taste of Jordan algebras
• A Cartan-Hadamard theorem for Banach-Finsler manifolds
• Siegel domains over Finsler symmetric cones
• Infinite dimensional Jordan algebras and symmetric cones
• Additivity of Jordan multiplicative maps on Jordan operator algebras
• On the geometry of generalized inverses
• Hermitian Operators on Banach Jordan Algebras
• On Isometries of Jordan Algebras
• A Vidav theorem for Banach Jordan algebras
• On a Weyl–von Neumann type theorem for antilinear self-adjoint operators