Hilbert functions of \(\mathfrak{S}_n\)-stable artinian Gorenstein algebras

DOI10.1016/j.jalgebra.2016.03.013zbMath1376.13008arXiv1407.7228OpenAlexW2326845593MaRDI QIDQ290408

Andrew H. Hoefel, Anthony V. Geramita, David L. Wehlau

Publication date: 1 June 2016

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

Full work available at URL: https://arxiv.org/abs/1407.7228

zbMATH Keywords

Hilbert seriesGorenstein algebrasHall-Littlewood polynomialsartinian algebrasgraded charactersHilbert polynomialsKostka-Foulkes polynomialsMacaulay's inverse systemsrepresentations of \(\mathfrak{S}_n\)

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items

Generalized polarization modules ⋮ Symmetric complete intersections

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