Посилання:Post-Lie Algebras and Isospectral Flows / K. Ebrahimi-Fard, A. Lundervold, I. Mencattini, H.Z. Munthe-Kaas // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 22 назв. — англ.
Підтримка:We acknowledge support from ICMAT and the Severo Ochoa Excelencia Program, as well as the
NILS-Abel project 010-ABEL-CM-2014A, and the SPIRIT project RCN:231632 of the Norwegian
Research Council. The first author is supported by a Ram´on y Cajal research grant from
the Spanish government, and acknowledges support from the Spanish government under project
MTM2013-46553-C3-2-P.
In this paper we explore the Lie enveloping algebra of a post-Lie algebra derived from a classical R-matrix. An explicit exponential solution of the corresponding Lie bracket flow is presented. It is based on the solution of a post-Lie Magnus-type differential equation.