Lie bialgebra structures on 2-step nilpotent graph algebras

Farinati, Marco Andrés; Jancsa, Alejandra Patricia

info:eu-repo/semantics/article

Fecha

2018-07

Registro en:

Farinati, Marco Andrés; Jancsa, Alejandra Patricia; Lie bialgebra structures on 2-step nilpotent graph algebras; Academic Press Inc Elsevier Science; Journal of Algebra; 505; 7-2018; 70-91

0021-8693

http://hdl.handle.net/11336/88585

CONICET Digital

CONICET

https://repositorioslatinoamericanos.uchile.cl/handle/2250/4309071

Autor

Farinati, Marco Andrés

Jancsa, Alejandra Patricia

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

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.

Materias

LIE BIALGEBRAS

NILPOTENT LIE ALGEBRAS

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