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arxiv: 0903.0706 · v1 · submitted 2009-03-04 · 🧮 math.RA · math.RT

Gr\"obner--Shirshov bases for Vinberg--Koszul--Gerstenhaber right-symmetric algebras

classification 🧮 math.RA math.RT
keywords algebraalgebrasright-symmetricapplicationbasesbasisbner-shirshovcomposition-diamond
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In this paper, we establish the Composition-Diamond lemma for right-symmetric algebras. As an application, we give a Gr\"{o}bner-Shirshov basis for universal enveloping right--symmetric algebra of a Lie algebra.

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