Nilpotent n-Lie Algebras |
| |
Authors: | Michael Peretzian Williams |
| |
Institution: | 1. North Carolina State University , Raleigh , North Carolina , USA skew1823@yahoo.com |
| |
Abstract: | We find examples of nilpotent n-Lie algebras and prove n-Lie analogs of classical group theory and Lie algebra results. As an example we show that a nilpotent ideal I of class c in a n-Lie algebra A with A/I 2 nilpotent of class d is nilpotent and find a bound on the class of A. We also find that some classical group theory and Lie algebra results do not hold in n-Lie algebras. In particular, non-nilpotent n-Lie algebras can admit a regular automorphism of order p, and the sum of nilpotent ideals need not be nilpotent. |
| |
Keywords: | Lie algebra n-Lie algebra Nilpotent |
|
|