# Syzygies of Determinantal Thickenings

@article{Huang2020SyzygiesOD, title={Syzygies of Determinantal Thickenings}, author={Hang Huang}, journal={arXiv: Commutative Algebra}, year={2020} }

Let $S = \mathbb{C}[x_{i,j}]$ be the ring of polynomial functions on the space of $m \times n$ matrices, and consider the action of the group $\mathbf{GL} = \mathbf{GL}_m \times \mathbf{GL}_n$ via row and column operations on the matrix entries. It is proven by Raicu and Weyman that for a $\mathbf{GL}$-invariant ideal $I \subseteq S$, the linear strands of its minimal free resolution translates via the BGG correspondence to modules over the general linear Lie superalgebra $\mathfrak{gl}(m|n…

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