The Jordan type of graded Artinian Gorenstein algebras

Published 5 Nov 2018 in math.AC and math.AG | (1811.02072v2)

Abstract: We study the general Jordan type of standard graded Artinian Gorenstein algebras, it is a finer invariant than Weak and Strong Lefschetz properties for those algebras. We prove that their Jordan types are determined by the rank of certain Mixed Hessians. We give a description of the possible Jordan types for algebras of low socle degree and low codimension.

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