A generalization of Castelnuovo-Mumford regularity for representations of noncommutative algebras.

DOI10.1016/j.jalgebra.2010.04.024zbMath1257.16008OpenAlexW2076484215MaRDI QIDQ994276

Euiyong Park, Seok-Jin Kang, Hyungju Park, Dong-il Lee

Publication date: 17 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.04.024

zbMATH Keywords

projective dimensionKac-Moody algebrasrepresentationssyzygiesfree resolutionsGröbner-Shirshov bases

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Syzygies, resolutions, complexes in associative algebras (16E05) Computational aspects of associative rings (general theory) (16Z05) Representation theory of associative rings and algebras (16G99)

Related Items (2)

Generalized Castelnuovo-Mumford regularity for affine Kac-Moody algebras ⋮ Gröbner-Shirshov Bases for Exceptional Lie Superalgebras

Uses Software

• FGb
• Plural

Cites Work

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• Linear algebraic approach to Gröbner-Shirshov basis theory
• Bruno Buchberger's PhD thesis 1965: An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal. Translation from the German
• Minimal projective resolutions
• SERRE RELATIONS AND GRÖBNER-SHIRSHOV BASES FOR SIMPLE LIE ALGEBRAS I
• Non-commutative Castelnuovo–Mumford regularity
• GR BNER–SHIRSHOV BASES FOR THE KAC–MOODY ALGEBRAS OF THE TYPE
• Using Algebraic Geometry
• Some Algorithmic Problems for Lie Algebras
• What can be computed in algebraic geometry?
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