Symmetric structures in the weak and strong Bruhat orders

The weak and strong Bruhat orders are classical and rich combinatorial objects, with connections to Schubert calculus, Lie algebras, hyperplane arrangements, sorting networks and so on. In this thesis, we study various new symmetries within these structures, including the balance constant and the hu...

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Bibliographic Details
Main Author: Gao, Yibo
Other Authors: Postnikov, Alexander
Format: Thesis
Published: Massachusetts Institute of Technology 2022
Online Access:https://hdl.handle.net/1721.1/145042