Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896051 | Journal of Algebra | 2018 | 22 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Marco A. Farinati, Alejandra Patricia Jancsa,