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arxiv: 1307.8447 · v2 · pith:FHGKTJ2Bnew · submitted 2013-07-31 · 🧮 math.RA

Solvable Leibniz Algebras with Heisenberg Nilradical

classification 🧮 math.RA
keywords algebrasheisenbergnilradicalleibnizsolvableclassificationalgebraalready
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All solvable Lie algebras with Heisenberg nilradical have already been classified. We extend this result to a classification of solvable Leibniz algebras with Heisenberg nilradical. As an example, we show the complete classification of all real or complex Leibniz algebras whose nilradical is the 3-dimensional Heisenberg algebra.

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