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 ea...

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Detalles Bibliográficos
Autores principales: Farinati, Marco A., Jancsay, Alejandra Patricia
Formato: Artículo
Lenguaje:Inglés
Publicado: Elsevier 2019
Materias:
ALGEBRA
CALCULO
DERIVADAS
Acceso en línea:https://repositorio.uca.edu.ar/handle/123456789/8308
Aporte de:
Repositorio Institucional de la Universidad Católica Argentina (UCA) de Universidad Católica Argentina
Descripción
Sumario: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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