Lie Admissible Triple Algebras: The Connection Algebra of Symmetric Spaces
Hans Z. Munthe-Kaas, Jonatan Stava
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)2024
Abstract
We introduce Lie admissible triple algebras as the natural algebraic structure encoding connections on symmetric spaces. The framework extends post-Lie algebra theory to spaces with involutive symmetry, with applications to numerical integration on symmetric spaces.
Cite this publication
@article{hanszmunthekaas2024lie,
author = {Hans Z. Munthe-Kaas and Jonatan Stava},
title = {Lie Admissible Triple Algebras: The Connection Algebra of Symmetric Spaces},
journal = {Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)},
year = {2024},
doi = {10.3842/SIGMA.2024.068},
eprint = {2306.15582},
archivePrefix = {arXiv}
}