Equivariant spaces of matrices of constant corank one
Abstract
Abstract We classify all irreducible ‐equivariant subspaces of of constant corank one, where is a reductive group over an algebraically closed field of characteristic zero and are irreducible representations. We give explicit necessary and sufficient conditions on the highest weights of the representations. This is the first general classification result of its kind, and it recovers, as a special case, some known examples arising from symmetric forms.
Fields of Study & Subjects
Advanced Topics in Algebra
Matrix Theory and Algorithms
Holomorphic and Operator Theory
Publication details
- Journal / source
- Journal of the London Mathematical Society
- Volume
- 114
- Issue
- 3
- Publication date
- 1 September 2026
- Language
- EN