GR BNER–SHIRSHOV BASES FOR THE KAC–MOODY ALGEBRAS OF THE TYPE

DOI10.1081/AGB-120003979zbMath1007.17017OpenAlexW2061725365MaRDI QIDQ4552415

Evgeniĭ Nikolaevich Poroshenko

Publication date: 3 September 2002

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

Full work available at URL: https://doi.org/10.1081/agb-120003979

zbMATH Keywords

Kac-Moody algebrasfree Lie algebrasGröbner-Shirshov basesdiamond lemma

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Identities, free Lie (super)algebras (17B01) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (6)

Gröbner–Shirshov bases of the Lie algebra $D^{+}_{n}$ ⋮ Gröbner–Shirshov Basis for the Onsager and Tetrahedron Algebras ⋮ Gröbner–Shirshov bases and their calculation ⋮ A generalization of Castelnuovo-Mumford regularity for representations of noncommutative algebras. ⋮ Composition-diamond lemma for modules ⋮ Gröbner-Shirshov Bases for Exceptional Lie Superalgebras

Cites Work

• Unnamed Item
• Gröbner-Shirshov bases for quantum enveloping algebras
• Gröbner-Shirshov bases for Lie superalgebras and their universal enveloping algebras
• SERRE RELATIONS AND GRÖBNER-SHIRSHOV BASES FOR SIMPLE LIE ALGEBRAS I
• Standard Lyndon Bases of Lie Algebras and Enveloping Algebras
• UNSOLVABILITY OF THE EQUALITY PROBLEM AND SUBALGEBRAS OF FINITELY PRESENTED LIE ALGEBRAS

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