Lie Admissible Triple Algebras: The Connection Algebra of Symmetric Spaces

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2024
• Main Authors: Munthe-Kaas, Hans Z., Stava, Jonatan
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2024
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212352
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Lie Admissible Triple Algebras: The Connection Algebra of Symmetric Spaces. Hans Z. Munthe-Kaas and Jonatan Stava. SIGMA 20 (2024), 068, 28 pages

Associated with a symmetric space, there is a canonical connection with zero torsion and parallel curvature. This connection acts as a binary operator on the vector space of smooth sections of the tangent bundle, and it is linear with respect to the real numbers. Thus, the smooth section of the tang...