Symmetric power of the Grassmann variety
  In this work, we find base and dimension of a subspace appeared in works by V. A. Sharafutdinov. The same problem, but expressed in terms of polynomials from matrix minors, was initially solved by W. Hodge. The new result of this paper is the explicit base of the space and considerable simplification of the formula for its dimension. 
V. Yu. Gubarev
math.AG