4.3 Article

Solvable Leibniz Algebras with Heisenberg Nilradical

Journal

COMMUNICATIONS IN ALGEBRA
Volume 43, Issue 6, Pages 2272-2281

Publisher

TAYLOR & FRANCIS INC
DOI: 10.1080/00927872.2014.891123

Keywords

Classification; Heisenberg; Leibniz; Lie; Nilradical; 17D99

Categories

Funding

  1. Spring Hill College
  2. Department of Mathematics at Spring Hill College
  3. Department of Mathematics at University of Texas at Tyler
  4. Department of Mathematics at West Virginia University: Institute of Technology

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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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