Lie bialgebra structures on 2-step nilpotent graph algebras
Quantum Algebra
2016-07-04 v1 Rings and 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 , the free 2-step nilpotent Lie algebra.
Cite
@article{arxiv.1607.00300,
title = {Lie bialgebra structures on 2-step nilpotent graph algebras},
author = {Marco A. Farinati and A. Patricia Jancsa},
journal= {arXiv preprint arXiv:1607.00300},
year = {2016}
}
Comments
17 pages