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}
}
We let S=鈩俒xi,j]$S=\mathbb C[x_{i,j}]$ denote the ring of polynomial functions on the space of m脳n$m\times n$ matrices and consider the action of the group GL=GLm脳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鈯哠$I\subseteq S$, we show that the linear strands of its minimal free resolution translate via the BGG correspondence to modules over the general linear Lie superalgebra 饾敜饾敥(m|n)$\mathfrak {gl鈥βExpand
1 Citations
Syzygies of Determinantal Thickenings
  • PDF

References

SHOWING 1-10 OF 14 REFERENCES
...
1
2
...