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arXiv · 1307.8447

Solvable Leibniz Algebras with Heisenberg Nilradical

Lindsey Bosko-Dunbar·Jonathan D. Dunbar·J. T. Hird·Kristen Stagg
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Abstract

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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Lindsey Bosko-Dunbar, Jonathan D. Dunbar, J. T. Hird, Kristen Stagg. 2014-09-22. Solvable Leibniz Algebras with Heisenberg Nilradical. https://arxiv.org/abs/1307.8447

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