Quantum Groups, Discrete Magnus Expansion, Pre-Lie and Tridendriform Algebras

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Author: Doikou, Anastasia
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/214177
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Quantum Groups, Discrete Magnus Expansion, Pre-Lie and Tridendriform Algebras. Anastasia Doikou. SIGMA 21 (2025), 105, 32 pages

We review the discrete evolution problem and the corresponding solution as a discrete Dyson series in order to rigorously derive a generalized discrete version of the Magnus expansion. We also systematically derive the discrete analogue of the pre-Lie Magnus expansion and express the elements of the...