# Syzygies of Determinantal Thickenings and Representations of the General Linear Lie Superalgebra

@article{Raicu2018SyzygiesOD,
title={Syzygies of Determinantal Thickenings and Representations of the General Linear Lie Superalgebra},
author={C. Raicu and J. Weyman},
journal={Acta Mathematica Vietnamica},
year={2018},
volume={44},
pages={269-284}
}
• Published 2018
• Mathematics, Physics
• Acta Mathematica Vietnamica
We let S=ℂ[xi,j]$S=\mathbb C[x_{i,j}]$ denote the ring of polynomial functions on the space of m×n$m\times n$ matrices and consider the action of the group GL=GLm×GLn$\text {GL}=\text {GL}_{m}\times \text {GL}_{n}$ via row and column operations on the matrix entries. For a GL$\text {GL}$-invariant ideal I⊆S$I\subseteq S$, we show that the linear strands of its minimal free resolution translate via the BGG correspondence to modules over the general linear Lie superalgebra 𝔤𝔩(m|n)\$\mathfrak {gl… Expand
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