Nilpotent and Solvable Lie Algebroids

Author : Fat. Barati and M. R. Farhangdoost, (Iran)

Abstract                                                                           

In this paper, we present new example of solvable Lie algebra which is not nilpotent Lie algebra. Also we define the nilpotent an solvable Lie algebroid and we show that every Lie algebroid  is nilpotent (solvable) Lie algebroid if and only if the dual of it be a nilpotent (solvable) Lie algebroid.

Keywords: Nilpotent and Solvable Lie algebra, Lie algebroid and its dual, Connection.