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New families of Artinian Gorenstein algebras with the weak Lefschetz property (2502.16687v1)
Published 23 Feb 2025 in math.AC
Abstract: We construct new families of Artinian Gorenstein graded $K$-algebras of arbitrary codimension having binomial Macaulay dual generators and satisfying the weak or the strong Lefschetz property. This is a companion paper to \cite{ADFMMSV}, which studies codimension three algebras having binomial Macaulay dual generators in great depth, establishing in particular that they enjoy the strong Lefschetz property.
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