Solvable Leibniz Algebras with Heisenberg Nilradical

Lindsey Bosko-Dunbar Department of Mathematics, Spring Hill College, Mobile, Alabama, USA

Jonathan D. Dunbar Department of Mathematics, Spring Hill College, Mobile, Alabama, USA

J. T. Hird Department of Mathematics, West Virginia University, Institute of Technology, Montgomery, West Virginia, USACorrespondence[email protected]

Kristen Stagg Department of Mathematics, The University of Texas at Tyler, Tyler, Texas, USA

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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2010 Mathematics Subject Classification:

17D99

Notes

Communicated by T. Albu.

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Solvable Leibniz Algebras with Heisenberg Nilradical

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