Gröbner-Shirshov Bases for Free Partially Commutative Lie Algebras

DOI10.1080/00927872.2012.677080zbMath1291.17005arXiv1105.4796OpenAlexW2044331636MaRDI QIDQ2850823

Qiuhui Mo, Yuqun Chen

Publication date: 30 September 2013

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

Full work available at URL: https://arxiv.org/abs/1105.4796

zbMATH Keywords

Lie algebraGröbner-Shirshov basisComposition-Diamond lemmafree partially commutative Lie algebra

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Identities, free Lie (super)algebras (17B01)

Related Items (4)

Unnamed Item ⋮ Root multiplicities for Borcherds algebras and graph coloring ⋮ Gröbner–Shirshov basis method for multiple tensor products of some associative algebras ⋮ Gröbner–Shirshov bases and their calculation

Cites Work

• Bases for partially commutative Lie algebras
• Hopf algebras and identities in free partially commutative monoids
• Integrité des algèbres de séries formelles sur un alphabet partiellement commutatif
• The free partially commutative Lie algebra: Bases and ranks
• Free partially commutative structures
• GRÖBNER-SHIRSHOV BASES FOR COXETER GROUPS

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