ABSTRACT
It is now time to start mixing algebraic components into our algebraicocombinatorial recipe. The first of these ingredients comes from invariant theory with some special emphasis on symmetric polynomials. Much of this theory makes systematic use of combinatorial objects, both in the formulation of the main results and in the proof techniques. To learn more about the notions discussed here, refer to [Humphreys 90] and the “bible” of symmetric functions [Macdonald 95].
