Date of Award
2017
Degree Name
Mathematics
College
College of Science
Type of Degree
M.A.
Document Type
Thesis
First Advisor
Elizabeth Niese
Second Advisor
JiYoon Jung
Third Advisor
Carl Mummert
Abstract
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.
Subject(s)
Hecke algebras.
Orthogonal polynomials.
Recommended Citation
Rodeheffer, Jacob, "The combinatorics of modified Macdonald polynomials" (2017). Theses, Dissertations and Capstones. 1082.
https://mds.marshall.edu/etd/1082
