Gröbner-Shirshov bases for metabelian Lie algebras
arXiv:1106.2362 · doi:10.1016/j.jalgebra.2012.02.027
Abstract
In this paper, we establish the Gröbner-Shirshov bases theory for metabelian Lie algebras. As applications, we find the Gröbner-Shirshov bases for partial commutative metabelian Lie algebras related to circuits, trees and some cubes.
20 pages