Free extensions and Lefschetz properties, with an application to rings of relative coinvariants

DOI10.1080/03081087.2019.1598930zbMath1461.13024arXiv1807.05869OpenAlexW3099065241WikidataQ128152126 ScholiaQ128152126MaRDI QIDQ4965592

Shujian Chen, Chris McDaniel, Pedro Macias Marques, Anthony A. Iarrobino

Publication date: 6 March 2021

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.05869

zbMATH Keywords

Hilbert functioninvarianttensor productfree extensionreflection groupArtinian algebraLefschetz propertyJordan typecoinvariant

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Parametrization (Chow and Hilbert schemes) (14C05) Actions of groups on commutative rings; invariant theory (13A50) Classical groups (algebro-geometric aspects) (14L35) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items

Artinian algebras and Jordan type ⋮ Artinian Gorenstein algebras that are free extensions over \(k[t/(t^n)\), and Macaulay duality]

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