Gr\"{o}bner-Shirshov bases for metabelian Lie algebras
classification
🧮 math.RA
keywords
algebrasbasesbner-shirshovmetabelianapplicationscircuitscommutativecubes
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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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