Some New Results on Gröbner-Shirshov Bases

DOI10.1142/9789814366311_0005zbMath1264.16025arXiv1102.0449OpenAlexW2317675755MaRDI QIDQ4909857

Yuqun Chen, Leonid A. Bokut', Kar Ping Shum

Publication date: 22 March 2013

Published in: Proceedings of the International Conference on Algebra 2010 (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.0449

zbMATH Keywords

braid groupsquantum groupsinverse semigroupsconformal algebrascategoriesdendriform algebrasoperadsnormal form theoremsGröbner-Shirshov basesRota-Baxter algebrasplactic monoids\(L\)-algebrascomposition-diamond lemmametabelian Lie algebrasright-symmetry algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Lie algebras of vector fields and related (super) algebras (17B66) Braid groups; Artin groups (20F36) Identities, free Lie (super)algebras (17B01) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Inverse semigroups (20M18) Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras (17-02) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02)

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