Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5771816 | Journal of Algebra | 2017 | 16 Pages |
Abstract
We define a solvable extension of the graph 2-step nilpotent Lie algebras of [5] by adding elements corresponding to the 3-cliques of the graph. We study some of their basic properties and we prove that two such Lie algebras are isomorphic if and only if their graphs are isomorphic. We also briefly discuss some metric properties, providing examples of homogeneous spaces with nonpositive curvature operator and solvsolitons.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Gueo Grantcharov, Vladimir Grantcharov, Plamen Iliev,