Equivariant Syzygies of the Ideal of 2 x 2 Permanents of a 2 x n Matrix
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classification
math.AC
keywords
idealequivariantmatrixpermanentssyzygiestimesactionsbetti
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We describe the equivariant syzygies of the ideal of $2 \times 2$ permanents of a generic $2 \times n$ matrix under its natural symmetric and torus group actions. Our proof gives us a new method of finding the Betti numbers of this ideal, which were first described by Gesmundo, Huang, Schenck, and Weyman.
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