1 citations · 1 across the 7 of their papers we have counts for
7 papers
Cubulation of Bruhat graphs
Alex Bishop, Elizabeth Milićević, Anne Thomas
For an arbitrary Coxeter system and any , we investigate the condition that the Bruhat graph for the interval can be cubulated, meaning roughly that this g…
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…
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 and coconjugation set for all…
The geometry of conjugation in Euclidean isometry groups
Elizabeth Milićević, Petra Schwer, Anne Thomas
We describe the geometry of conjugation within any split subgroup of the full isometry group of -dimensional Euclidean space. We prove that for any , the conjug…
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…
Alcove Walks and GKM Theory for Affine Flags
Elizabeth Milićević, Kaisa Taipale
We develop the GKM theory for the torus-equivariant cohomology of the affine flag variety using the combinatorics of alcove walks. Dual to the usual GKM setup, which depicts the or…
Chimney retractions in affine buildings encode orbits in affine flag varieties
Elizabeth Milićević, Petra Schwer, Anne Thomas
This paper determines the relationship between the geometry of retractions and the combinatorics of folded galleries for arbitrary affine buildings, and so provides a unified frame…