Lyndon-Shirshov basis and anti-commutative algebras

DOI10.1016/j.jalgebra.2012.12.017zbMath1297.17004arXiv1110.1264OpenAlexW2042647125MaRDI QIDQ373877

Yuqun Chen, Yu Li, Leonid A. Bokut'

Publication date: 25 October 2013

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

Full work available at URL: https://arxiv.org/abs/1110.1264

zbMATH Keywords

Lie algebraGröbner-Shirshov basisanti-commutative algebraLyndon-Shirshov words

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) Lie algebras and Lie superalgebras (17B99)

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Gröbner-Shirshov bases for some Lie algebras ⋮ Unnamed Item ⋮ Generalized anti-commutative Gröbner-Shirshov basis theory and free Sabinin algebras ⋮ New approaches to plactic monoid via Gröbner-Shirshov bases. ⋮ Gröbner–Shirshov bases for symmetric brace algebras ⋮ Gröbner–Shirshov bases and their calculation ⋮ Gröbner–Shirshov bases for brace algebras ⋮ Nyldon words

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