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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| Main Authors: | , |
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| Format: | Artículo biblioteca |
| Language: | eng |
| Published: |
Elsevier
2018
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| Subjects: | ALGEBRA, CALCULO, DERIVADAS, |
| Online Access: | https://repositorio.uca.edu.ar/handle/123456789/8308 |
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