Homological codimension of modular rings of invariants and the Koszul complex

DOI10.1215/KJM/1250518006zbMath0951.13002OpenAlexW1938728778MaRDI QIDQ1296413

Larry Smith

Publication date: 6 February 2000

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250518006

zbMATH Keywords

ring of invariantsKoszul complexdepthregular sequenceshomological dimensionvanishing of homology

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Homological methods in group theory (20J05) Actions of groups on commutative rings; invariant theory (13A50) Steenrod algebra (55S10)

Related Items (5)

Degree bounds -- an invitation to postmodern invariant theory ⋮ Projective bundle ideals and Poincaré duality algebras ⋮ On Cohen-Macaulayness and depth of ideals in invariant rings ⋮ Depth of modular invariant rings ⋮ The depth of invariant rings and cohomology. Appendix by Kay Magaard: Visible flatness for irreducible modules of groups with BN-pair

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