Skip to main content

Factorizations of the canonical full cycle and symmetric q,t-polynomials

Resource type
Thesis type
(Thesis) M.Sc.
Date created
2022-08-19
Authors/Contributors
Abstract
The aim of our study is to examine the relationship between minimal factorizations of the canonical full cycle that arise in lattices of non-crossing partitions, as well as the statistics attached to these objects. We shall first study properties of these factorizations that will help us establish statistic-preserving bijections among these objects. We also study some special subsets of these factorizations that come from their relationship with parking functions. Furthermore, some of the statistics on these objects give rise to interesting symmetric q,t-polynomials that we also examine.
Document
Extent
63 pages.
Identifier
etd22481
Copyright statement
Copyright is held by the author(s).
Permissions
This thesis may be printed or downloaded for non-commercial research and scholarly purposes.
Supervisor or Senior Supervisor
Thesis advisor: Rattan, Amarpreet
Language
English
Member of collection
Download file Size
etd22481.pdf 602.34 KB

Views & downloads - as of June 2023

Views: 19
Downloads: 2