Suho Oh

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3 papers · 1 filter

math.CO2026

Shifted lower Bruhat intervals are EL-shellable

Aman Dave, Taiwen Feng, Nathan Lesnevich +4

Let $W$ be an arbitrary Coxeter group. The shifted Bruhat interval $[w_{1}, w_{2}] x^{- 1}$ , the translate of the Bruhat interval $[w_{1}, w_{2}]$ by an element $x$ , is partially ordered by…

math.CO2024

Demazure product and hopping in type D

Darren Han, Michelle Huang, Benjamin Keller +2

The Demazure product, also called the 0-Hecke product, is an associative operation on Coxeter groups with interesting properties and applications. In (Li et al 2024) it was shown t…

math.CO2024

Coxeter groups and Billey-Postnikov decompositions

Suho Oh, Edward Richmond

In this chapter, we give an overview of Billey-Postnikov (BP) decompositions which have become an important tool for understanding the geometry and combinatorics of Schubert variet…