Formal integration of complete RotaBaxter Lie algebras
Abstract
In this paper, first we revisit the formal integration of Lie algebras, which give rise to braces in some special cases. Then we establish the formal integration theory for complete RotaBaxter Lie algebras, that is, we show that there is a RotaBaxter group with the underlying group structure given by the BakerCampbellHausdorff formula, associated to any complete RotaBaxter Lie algebra.
 Publication:

arXiv eprints
 Pub Date:
 April 2024
 DOI:
 10.48550/arXiv.2404.09261
 arXiv:
 arXiv:2404.09261
 Bibcode:
 2024arXiv240409261G
 Keywords:

 Mathematical Physics;
 Mathematics  Quantum Algebra;
 Mathematics  Rings and Algebras
 EPrint:
 12 pages