Bases for partially commutative Lie algebras

Published 6 Dec 2010 in math.RA, math.GR, and math.RT | (1012.1089v1)

Abstract: In this paper, linear bases for the partially commutative Lie algebras are found. The method of the Gr\"{o}bner--Shirshov bases is used. It easily follows from the structure that the equality problem is algorithmically solvable for the partially commutative Lie algebras.

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Evgeny Poroshenko

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