A Study of the representations supported by the orbit closure of the determinant
arXiv:1109.5996 · doi:10.1112/S0010437X14007660
Abstract
We show the existence of a large family of representations supported by the orbit closure of the determinant. However, the validity of our result is based on the validity of the celebrated `Latin Square Conjecture' due to Alon-Tarsi or more precisely on the validity of an equivalent `column Latin Square Conjecture' due to Huang-Rota.
23 pages