Abacus-Tournament Models of Hall-Littlewood Polynomials

In this dissertation, we introduce combinatorial interpretations for three types of HallLittlewood polynomials (denoted Rλ, Pλ, and Qλ) by using weighted combinatorial objects called abacus-tournaments. We then apply these models to give combinatorial proofs of properties of Hall-Littlewood polynomi...

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Bibliographic Details
Main Author: Wills, Andrew Johan
Other Authors: Mathematics
Format: Others
Published: Virginia Tech 2016
Subjects:
Online Access:http://hdl.handle.net/10919/64427