The first term of plethysms

Abstract

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.

10 pages, 5 figures

Cited by in corpus (2)

• Generalized Foulkes modules and maximal and minimal constituents of plethysms of Schur functions
• Minimal and maximal constituents of twisted Foulkes characters