Commutative algebra for cohomology rings of classifying spaces of compact Lie groups

DOI10.1016/S0022-4049(96)00078-3zbMath0886.57022WikidataQ115340119 ScholiaQ115340119MaRDI QIDQ1373766

John P. C. Greenlees, David John Benson

Publication date: 17 December 1997

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Cohen-Macaulay ringspectral sequenceLie groupPoincaré seriesClassifying space

Mathematics Subject Classification ID

Embeddings in differential topology (57R40) Homology and homotopy of topological groups and related structures (57T99)

Related Items

Duality in algebra and topology ⋮ On the Castelnuovo-Mumford regularity of the cohomology ring of a group ⋮ Algebraic models of change of groups functors in (co)free rational equivariant spectra ⋮ Commutative algebra for cohomology rings of virtual duality groups ⋮ Homotopy Invariant Commutative Algebra over Fields ⋮ The local cohomology spectral sequence for topological modular forms ⋮ Local duality for structured ring spectra ⋮ Local Gorenstein duality in chromatic group cohomology ⋮ Local Gorenstein duality for cochains on spaces ⋮ Algebras over equivariant sphere spectra ⋮ Nilpotence in group cohomology ⋮ Localization and duality in topology and modular representation theory. ⋮ Borel cohomology and the relative Gorenstein condition for classifying spaces of compact Lie groups ⋮ Stratification and duality for homotopical groups

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