Enveloping Algebras of Solvable Malcev Algebras of Dimension Five |
| |
| Authors: | Marina V Tvalavadze |
| |
| Institution: | Department of Mathematics and Statistics , University of Saskatchewan , Saskatoon, Saskatchewan, Canada |
| |
| Abstract: | We study the universal enveloping algebras of the one-parameter family of solvable 5-dimensional non-Lie Malcev algebras. We explicitly determine the universal nonassociative enveloping algebras (in the sense of Pérez-Izquierdo and Shestakov) and the centers of the universal enveloping algebras. We also determine the universal alternative enveloping algebras. |
| |
| Keywords: | Alternative algebras Central elements Malcev algebras Universal enveloping algebras |
|
|
