4 papers
Cubulation of Bruhat graphs
Alex Bishop, Elizabeth MiliÄeviÄ, 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…
The geometry of conjugation in Euclidean isometry groups
Elizabeth MiliÄeviÄ, 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 MiliÄeviÄ, 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…
The geometry of conjugation in affine Coxeter groups
Elizabeth MiliÄeviÄ, Petra Schwer, Anne Thomas
We develop new and precise geometric descriptions of the conjugacy class and coconjugation set for all…