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Abstract
We extend results on finite dimensional nilpotent Lie algebras to Leibniz algebras and counterexamples to others are found. One generator algebras are used in these examples and are investigated further.
ACKNOWLEDGMENTS
This work was completed as part of a Research Experience for Graduate Students at North Carolina State University, supported by the National Science Foundation. The authors would like to thank Professor E. L. Stitzinger for his guidance and support.
The work of the first three authors was supported by NSF grant DMS-0943855.
Notes
Communicated by K. Misra.