ABSTRACT
In the last chapter, we used combinatorial operations on tableaux to establish algebraic properties of Schur polynomials and symmetric polynomials. This chapter investigates the interplay between the combinatorics of abaci and the algebraic properties of antisymmetric polynomials. These concepts will be used to establish additional facts about integer partitions and symmetric polynomials. In particular, we will derive some formulas for expanding skew Schur polynomials in terms of various bases.
