Date of Award
College of Science
Type of Degree
This paper is concerned with finding a combinatorial Schur expansion of the modified Macdonald polynomials. We will use the Robinson–Schensted–Knuth (RSK) algorithm to obtain the result for a limited set of partition shapes, and we will use Foata’s bijection to extend the result to conjugate shapes. We will explore possibilities for modifying the RSK algorithm in such a way that it could be applied to obtain the result for more general shapes.
Rodeheffer, Jacob, "The combinatorics of modified Macdonald polynomials" (2017). Theses, Dissertations and Capstones. 1082.