Gröbner-Shirshov bases for metabelian Lie algebras

Details Gröbner-Shirshov bases for metabelian Lie algebras Gröbner-Shirshov bases for metabelian Lie algebras

2011-06-13

arxiv.org/abs/1106.2362v1

Mathematics

Rings and Algebras

20 pages

Scientific paper

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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