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
id I33-R139123456789-8308
record_format dspace
institution Universidad Católica Argentina
institution_str I-33
repository_str R-139
collection Repositorio Institucional de la Universidad Católica Argentina (UCA)
language Inglés
topic ALGEBRA
CALCULO
DERIVADAS
spellingShingle ALGEBRA
CALCULO
DERIVADAS
Farinati, Marco A.
Jancsay, Alejandra Patricia
Lie bialgebra structures on 2-step nilpotent graph algebras
topic_facet ALGEBRA
CALCULO
DERIVADAS
description 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.
format Artículo
author Farinati, Marco A.
Jancsay, Alejandra Patricia
author_facet Farinati, Marco A.
Jancsay, Alejandra Patricia
author_sort Farinati, Marco A.
title Lie bialgebra structures on 2-step nilpotent graph algebras
title_short Lie bialgebra structures on 2-step nilpotent graph algebras
title_full Lie bialgebra structures on 2-step nilpotent graph algebras
title_fullStr Lie bialgebra structures on 2-step nilpotent graph algebras
title_full_unstemmed Lie bialgebra structures on 2-step nilpotent graph algebras
title_sort lie bialgebra structures on 2-step nilpotent graph algebras
publisher Elsevier
publishDate 2019
url https://repositorio.uca.edu.ar/handle/123456789/8308
work_keys_str_mv AT farinatimarcoa liebialgebrastructureson2stepnilpotentgraphalgebras
AT jancsayalejandrapatricia liebialgebrastructureson2stepnilpotentgraphalgebras
bdutipo_str Repositorios
_version_ 1764820527837347840

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