Combinatorial Properties of the Hilbert Series of Macdonald Polynomials

The original Macdonald polynomials $P_\mu$ form a basis for the vector space of symmetric functions which specializes to several of the common bases such as the monomial, Schur, and elementary bases. There are a number of different types of Macdonald polynomials obtained from the original $P_\mu$ th...

Full description

Bibliographic Details
Main Author: Niese, Elizabeth M.
Other Authors: Mathematics
Format: Others
Published: Virginia Tech 2014
Subjects:
Online Access:http://hdl.handle.net/10919/26702
http://scholar.lib.vt.edu/theses/available/etd-04082010-090925/