Capable Lie algebras with the derived subalgebra of dimension 2 over an arbitrary field |
| |
| Authors: | Peyman Niroomand Farangis Johari Mohsen Parvizi |
| |
| Affiliation: | 1. School of Mathematics and Computer Science, Damghan University, Damghan, Iran.;2. Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran. |
| |
| Abstract: | In this paper, we classify all capable nilpotent Lie algebras with the derived subalgebra of dimension 2 over an arbitrary field. Moreover, the explicit structure of such Lie algebras of class 3 is given. |
| |
| Keywords: | Capability Schur multiplier generalized Heisenberg Lie algebras stem Lie algebras |
|
|
