Gr\"{o}bner-Shirshov bases for metabelian Lie algebras
  In this paper, we establish the Gr\"{o}bner-Shirshov bases theory for metabelian Lie algebras. As applications, we find the Gr\"{o}bner-Shirshov bases for partial commutative metabelian Lie algebras related to circuits, trees and some cubes. 
Yongshan Chen and Yuqun Chen
math.RA