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- W2344821805 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." @default.
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- W2344821805 date "2017-12-01" @default.
- W2344821805 modified "2023-09-28" @default.
- W2344821805 title "Solvable Lie algebras and graphs" @default.
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- W2344821805 doi "https://doi.org/10.1016/j.jalgebra.2017.08.015" @default.
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