Lie bialgebra structures on 2-step nilpotent graph algebras

Abstract: We generalize a result on the Heisenberg Lie algebra that gives restrictions to possible Lie bialgebra cobrackets on 2-step nilpotent algebras with some additional properties. For the class of 2-step nilpotent Lie algebras coming from graphs, we describe these extra properties in a very easy graph-combinatorial way. We exhibit applications for fn, the free 2-step nilpotent Lie algebra.

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Detalhes bibliográficos
Principais autores: Farinati, Marco A., Jancsay, Alejandra Patricia
Formato: Artículo biblioteca
Idioma:eng
Publicado em: Elsevier 2018
Assuntos:ALGEBRA, CALCULO, DERIVADAS,
Acesso em linha:https://repositorio.uca.edu.ar/handle/123456789/8308
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