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Symmetry, Integrability and Geometry: Methods and Applications, 2015, Volume 11, 093, 16 pp.
DOI: https://doi.org/10.3842/SIGMA.2015.093 (Mi sigma1074) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Post-Lie Algebras and Isospectral Flows

Kurush Ebrahimi-Farda, Alexander Lundervoldb, Igor Mencattinic, Hans Z. Munthe-Kaasd

a ICMAT, C/Nicolás Cabrera 13-15, 28049 Madrid, Spain
b Department of Computing, Mathematics and Physics, Faculty of Engineering, Bergen University College, Postbox 7030, N-5020 Bergen, Norway
c Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Campus de São Carlos, Caixa Postal 668, 13560-970 São Carlos, SP, Brazil
d Department of Mathematics, University of Bergen, Postbox 7803, N-5020 Bergen, Norway
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DOI: https://doi.org/10.3842/SIGMA.2015.093
Abstract: 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.
Keywords: isospectral flow equation; $R$-matrix; Magnus expansion; post-Lie algebra.
Received: August 13, 2015; in final form November 16, 2015; Published online November 20, 2015
Bibliographic databases:
Document Type: Article
MSC: 70H06; 17D99; 37J35
Language: English
Citation: Kurush Ebrahimi-Fard, Alexander Lundervold, Igor Mencattini, Hans Z. Munthe-Kaas, “Post-Lie Algebras and Isospectral Flows”, SIGMA, 11 (2015), 093, 16 pp.
Citation in format AMSBIB
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\paper Post-Lie Algebras and Isospectral Flows
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\totalpages 16
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    • This publication is cited in the following 18 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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