Elizabeth Milićević

collaborators

5 papers

math.RT2025

Cubulation of Bruhat graphs

Alex Bishop, Elizabeth Milićević, Anne Thomas

For $(W, S)$ an arbitrary Coxeter system and any $y \in W$ , we investigate the condition that the Bruhat graph for the interval $[1, y]$ can be cubulated, meaning roughly that this g…

math.CO2024

Reduced words for reflections in Weyl groups

Elizabeth Milićević

The reflections in a Coxeter group are defined as conjugates of a single generator, and thus admit palindromic expressions as products of generators. Our main result gives closed f…

math.GR2024

The geometry of conjugation in affine Coxeter groups

Elizabeth Milićević, Petra Schwer, Anne Thomas

We develop new and precise geometric descriptions of the conjugacy class $[x]$ and coconjugation set $C (x, x^{'}) = {y \in W ∣ y x y^{- 1} = x^{'}}$ for all…

math.GR2024

The geometry of conjugation in Euclidean isometry groups

Elizabeth Milićević, Petra Schwer, Anne Thomas

We describe the geometry of conjugation within any split subgroup $H$ of the full isometry group $G$ of $n$ -dimensional Euclidean space. We prove that for any $h \in H$ , the conjug…

math.CO2024

Crystal Chute Moves on Pipe Dreams

Sarah Gold, Elizabeth Milićević, Yuxuan Sun

Schubert polynomials represent a basis for the cohomology of the complete flag variety and thus play a central role in geometry and combinatorics. In this context, Schubert polynom…