Gröbner-Shirshov bases for Lie algebras over a commutative algebra

DOI10.1016/j.jalgebra.2011.04.020zbMath1263.17003arXiv1006.3217OpenAlexW2080098340WikidataQ115351192 ScholiaQ115351192MaRDI QIDQ657976

Yongshan Chen, Leonid A. Bokut', Yuqun Chen

Publication date: 11 January 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.3217

zbMATH Keywords

free Lie algebraGröbner-Shirshov basisLyndon-Shirshov word

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Identities, free Lie (super)algebras (17B01) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Universal enveloping algebras of Lie algebras (16S30)

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