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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Formato: | Artículo |
Lenguaje: | Inglés |
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Elsevier
2019
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Acceso en línea: | https://repositorio.uca.edu.ar/handle/123456789/8308 |
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I33-R139123456789-8308 |
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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 |