4 papers
Shifted lower Bruhat intervals are EL-shellable
Aman Dave, Taiwen Feng, Nathan Lesnevich +4
Let be an arbitrary Coxeter group. The shifted Bruhat interval , the translate of the Bruhat interval by an element , is partially ordered by…
Comparability in Bruhat orders
Jonathan Boretsky, Alvaro Cornejo, Reuven Hodges +3
We determine the sharp asymptotic scale of the probability that two uniformly random permutations are comparable in weak Bruhat order, showing that $\mathbb{P}(σ_1 \preceq_W σ_2)=\…
Signed permutations and degree-one dot action representations for types B and C
Nathan R. T. Lesnevich
A spline is an assignment of polynomials to the vertices of a graph, where the difference of two polynomials along an edge must belong to the ideal labeling that edge. We consider…
The poset of maximal tubings of the cycle graph is a lattice
Ben Adenbaum, Emily Barnard, Max Hlavacek +4
The poset of maximal tubings of a graph generalizes several well-known and remarkable partial orders. Notable examples include the weak Bruhat order and the Tamari lattice, posets…