The first term of plethysms
  Plethysm of two Schur functions can be expressed as a linear combination of Schur functions, and monomial symmetric functions. In this paper, we express the coefficients combinatorially in the case of monomial symmetric functions. And by using it, we determine the first term of the plethysm with respect to Schur functions under the reverse lexicographic order. 
Kazuto Iijima
math.CO math.RT