• Corpus ID: 221006117

Syzygies of Determinantal Thickenings

@article{Huang2020SyzygiesOD,
  title={Syzygies of Determinantal Thickenings},
  author={Hang Huang},
  journal={arXiv: Commutative Algebra},
  year={2020}
}
  • Hang Huang
  • Published 6 August 2020
  • Mathematics
  • arXiv: Commutative Algebra
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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