A Study of the representations supported by the orbit closure of the   determinant
  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. 
Shrawan Kumar
math.RT math.AG