Title of article :
On Classification of 9-Dimensional Nilpotent 3 -ary Algebras of Class Two
Author/Authors :
Darabi ، Hamid Department of Mathematics - Esfarayen University of Technology , Imanparast ، Mahdi Department of Computer Science - University of Bojnord
Abstract :
The nilpotent Filippov algebra of class two plays an essential role in some geometric problems, and the classification of nilpotent Lie algebras of class two is one of the most important issues in Lie algebras. In this paper, we classify 9-dimensional nilpotent 3-ary algebras of class two over an arbitrary field.
Keywords :
Filippov algebras · Nilpotent algebra · Algebraic classification
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
