English

Equivariant spaces of matrices of constant corank one

Algebraic Geometry 2025-04-24 v1 Representation Theory

Abstract

We study spaces of matrices coming from irreducible representations of reductive groups over an algebraically closed field of characteristic zero and we completely classify those of constant corank one. In particular, we recover the examples coming from symmetric forms discovered in [BFL22].

Keywords

Cite

@article{arxiv.2504.16594,
  title  = {Equivariant spaces of matrices of constant corank one},
  author = {Ada Boralevi and Daniele Faenzi and Dragoş Frăţilă},
  journal= {arXiv preprint arXiv:2504.16594},
  year   = {2025}
}