Isotropic subspaces of Schur modules
Abstract
It is a well-known fact that over the complex numbers and for a fixed k and n, a generic s in Sym2V∗ vanishes on some k-dimensional subspace of V if and only if n≥2k. Tevelev found exact conditions for the extension of this statement for general symmetric and skew-symmetric multilinear forms, and we extend his work to all possible symmetric types, which correspond to Schur modules for a general partition.
Fields of Study & Subjects
Holomorphic and Operator Theory
Algebraic structures and combinatorial models
Rings
Modules
and Algebras
Publication details
- Journal / source
- Communications in Algebra
- Volume
- 54
- Issue
- 11
- Pages
- 3544–3553
- Publication date
- 2 January 2026
- Language
- EN