Solvable Leibniz Algebras with Heisenberg Nilradical
Lindsey Bosko-Dunbar
Department of Mathematics, Spring Hill College, Mobile, Alabama, USAJonathan D. Dunbar
Department of Mathematics, Spring Hill College, Mobile, Alabama, USAJ. T. Hırd
Department of Mathematics, West Virginia University, Institute of Technology, Montgomery, West Virginia, USAKristen Stagg
Department of Mathematics, The University of Texas at Tyler, Tyler, Texas, USA
2015en
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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