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Solvable Leibniz Algebras with Heisenberg Nilradical

Lindsey Bosko-DunbarDepartment of Mathematics, Spring Hill College, Mobile, Alabama, USAJonathan D. DunbarDepartment of Mathematics, Spring Hill College, Mobile, Alabama, USAJ. T. HırdDepartment of Mathematics , West Virginia University, Institute of Technology , Montgomery , West Virginia , USAKristen StaggDepartment of Mathematics , The University of Texas at Tyler , Tyler , Texas , USA
2013en
ABI

Аннотация

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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