Post-Lie Algebras and Isospectral Flows

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.

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Bibliographic Details
Date:2015
Main Authors: Ebrahimi-Fard, K., Lundervold, A., Mencattini, I., Munthe-Kaas, H.Z.
Format: Article
Language:English
Published: Інститут математики НАН України 2015
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/147113
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine