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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
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
Citation:
Kurush Ebrahimi-Fard, Alexander Lundervold, Igor Mencattini, Hans Z. Munthe-Kaas, “Post-Lie Algebras and Isospectral Flows”, SIGMA, 11 (2015), 093, 16 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1074 https://www.mathnet.ru/eng/sigma/v11/p93
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