New combinatorics of the weak and strong Bruhat orders

This thesis describes a line of work, much of it joint with Yibo Gao, which began with our proof of Stanley's conjecture that the weak order on the symmetric group is Sperner. Further developments---either directly related or related in our thinking at the time---involve weighted path enumerat...

Full description

Bibliographic Details
Main Author: Gaetz, Christian
Other Authors: Postnikov, Alexander
Format: Thesis
Published: Massachusetts Institute of Technology 2022
Online Access:https://hdl.handle.net/1721.1/139101