Kronecker webs, Nijenhuis operators, and nonlinear PDEs
نویسندگان
چکیده
منابع مشابه
Algebraic Nijenhuis operators and Kronecker Poisson pencils
This paper is devoted to a method of constructing completely integrable systems based on the micro-local theory of bihamiltonian structures [GZ89, GZ91, Bol91, GZ93, GZ00, Pan00, Zak01]. The main tool are the so-called microKronecker bihamiltonian structures [Zak01], which will be called Kronecker in this paper for short (in [GZ00] the term Kronecker was used for the micro-Kronecker structures ...
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We construct Nijenhuis operators from particular bialgebras called dendriformNijenhuis bialgebras. It turns out that such Nijenhuis operators commute with TD-operators, kind of Baxter-Rota operators, and therefore closely related dendriform trialgebras. This allows the construction of associative algebras, called dendriform-Nijenhuis algebras made out with nine operations and presenting an exot...
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ژورنال
عنوان ژورنال: Banach Center Publications
سال: 2019
ISSN: 0137-6934,1730-6299
DOI: 10.4064/bc117-6