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Gröbner-Shirshov bases for metabelian Lie algebras

Published 13 Jun 2011 in math.RA | (1106.2362v1)

Abstract: 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.

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